515.1 — Топология

Topological complexity for closed 1-forms Kenji Fukushi · 2026

Configuration spaces and the Arone--Mahowald theorem Ben Knudsen, Dezhou Li · 2026

Fiber bundles over small categories Isaac Carcacía-Campos · 2026

Branching spaces of transverse sets Philippe Gaucher · 2026

Topological Data Analysis for High-Dimensional Dynamic Process Monitoring Angan Mukherjee, Tyler A. Soderstrom, Michael J. Kurtz, Victor M. Zavala · 2026

A characterization of the spectral Lie operad Max Blans, Gijs Heuts · 2026

A Persistent Homology Signature of Knotting Aurelie Jodelle Kemme, Collins A. Agyingi, Colleen Farrelly, Agnese Barbensi · 2026

Non-negative Matrix Factorisation with Topological Regularisation Matias de Jong van Lier, Shizuo Kaji, Keunsu Kim · 2026

Unveiling topology in imaging problems via quasi-isometry and persistent homology Elli Karvonen, Matti Lassas, Pekka Pankka · 2026

Regular clock maps and trace spaces Philippe Gaucher · 2026

Transport functions for principal bundles and Morse homology with differential graded coefficients Maximilian Stegemeyer · 2026

Equivariant compactifications, trivial embeddability and finite type Alexandru Chirvasitu · 2026

Weak split extensions of topological Abelian groups María V. Ferrer, Salvador Hernández-Muñoz, Luis Javier Hernández-Paricio · 2026

Higher Gauge Theory via Differential Nonabelian Cohomology Hisham Sati, Urs Schreiber · 2026

Almost quaternionic structures on compact rank one symmetric spaces Oliver Goertsches, Panagiotis Konstantis, Eugenia Loiudice, Grigory Solomadin · 2026

PHINN: Persistent Homology Inspired Neural Network for Rare-Event Time Series Generation Emre Yusuf, Ren Takahashi, Jayabrata Bhaduri · 2026

Fixed point free homeomorphisms and the $R_{\infty}$-property Daciberg Gonçalves, Peter Wong · 2026

Pluripotential operadic calculus Anna Sopena-Gilboy · 2026

Homotopy theories via the magnitude-path spectral sequence Muriel Livernet, Emily Roff, Sarah Whitehouse · 2026

Computing stable homology representations of graph configuration spaces Eric Ramos, Claudia He Yun · 2026

Coarse Homotopy Theory and Shape Theory Felix Lange · 2026

Covers of Tiling Spaces Franz Gähler, Jianlong Liu, Lorenzo Sadun · 2026

Logarithmic topological Hochschild homology of the truncated Brown--Peterson spectrum at height two Jiaxi Zha · 2026

Modular inequalities and Alexander polynomials of pencil type conic-line arrangements Anca Macinic · 2026

What are cyclotomic spectra and why do we need them? Douglas C. Ravenel · 2026

Cyclotomic extensions in stable homotopy theory Douglas C. Ravenel · 2026

Square Metric Spaces Charles Fanning, Mehmet Aktas · 2026

Topological complexity for closed 1-forms Kenji Fukushi · 2026

Gauge Geometry of Hodge Zero-Mode Transport in Parameter-Dependent Topological Data Analysis Satoshi Kanno, Rei Nishimura, Hiroshi Yamauchi, Yoshi-aki Shimada · 2026

Equivariant Milnor map Mathilda Campillo, Yuanxin Guan, Zhi Lü, Bernardo Uribe · 2026

Iterated Whitehead products in the homotopy groups of polyhedral products Taras Panov, Stephen Theriault, Fedor Vylegzhanin · 2026

Bott-Chern and Aeppli homotopy Jiahao Hu · 2026

Finite generation, algebraicity, and representation stability for homology of Torelli groups Alexander A. Gaifullin · 2026

Burklund-Lin-Wang-Xu Methods in the Cofiber-of-Tau Formalism and Applications to Equivariant Slice Differentials Yuchen Wu · 2026

Learning Coherent Representations: A Topological Approach to Interpretability Sigurd Gaukstad, Melvin Vaupel, Valdemar Kargård Olsen, Erik Hermansen, Benjamin Dunn · 2026

Cheeger Inequalities for the Persistent Laplacian Magnus Bakke Botnan, Rui Dong · 2026

Chamber Decompositions of Moment Polytopes for Torus Actions of Positive Complexity Matvey Sergeev · 2026

On Quantum Aspects of 1-Form Symmetries II: Bordism, Invertible Phases, and Anomalies Weizhen Jia, Yi-Nan Wang, Yi Zhang · 2026

Constructing VAE Latent Spaces with Prescribed Topology Jilles S. van Hulst, Jakub M. Tomczak, W. P. M. H. Heemels, Duarte J. Antunes · 2026

Learning Transfers: Kan Extensions for Neural Invariants Luciano Melodia · 2026

Massey products, sphere bundles and T-duality Gil R. Cavalcanti · 2026

Relations in the 24-th homotopy groups of spheres Toshiyuki Miyauchi, Juno Mukai · 2026

Stable homology of complex braid groups Andrea Bianchi, Filippo Callegaro, Luigi Caputi, Paolo Salvatore · 2026

Quantum cohomology and split generation in Lagrangian Floer theory M. Abouzaid, K. Fukaya, Y. -G. Oh, H. Ohta, K. Ono · 2026

Smooth manifolds homotopy equivalent to products of spheres Sagnik Biswas · 2026

A characterization of sheaves among six functor formalisms on $\mathrm{LCH}$ Ulrich Bunke, Marco Volpe · 2026

Encoding the Euler Characteristic Transform Nello Blaser, Odin Hoff Gardaa, Lars M. Salbu, Elena Xinyi Wang, Bastian Rieck · 2026

Old and new structures on Ran spaces: Length structures, completeness, and conicality Sylvain Douteau, Marie Labeye · 2026

Intrinsic linking of simplicial $n$-complexes in $\mathbb{R}^{2n}$: An additional minimal $n$-complex Ryo Nikkuni · 2026

Smooth atlas stratified spaces, K-Homology Orientations, and Gysin maps. Part 2 Pierre Albin, Markus Banagl, Paolo Piazza · 2026

Quantum encodings that preserve persistent homology Arthur J. Parzygnat, Andrew Vlasic · 2026

Real analytic lift of foliations of Thurston and Tsuboi Teruaki Kitano, Yoshihiko Mitsumatsu, Shigeyuki Morita · 2026

Fibrations Robert M. Switzer · 2002

Arithmetic Wu Formulas and the Generalized Hecke Theorem Shachar Carmeli, Mark Shusterman, Sa'ar Zehavi · 2026

$p$-adic Bi-Filtrations for Topological Machine Learning on Genomic Sequences Tirtharaj Dash, Gunja Sachdeva · 2026

RedZeD: Computing persistent homology by Reduction to Zero Differentials Chris Kapulkin, Nathan Kershaw · 2026

Gamma homology of group algebras and of polynomial algebras Birgit Richter, Alan Robinson · 2004

On partial groups of small order Philip Hackney · 2026

A structural reduction for the symmetric hit problem in four variables Dang Vo Phuc · 2026

Forman--Ricci Curvature for Irregular Convex Mosaics Abhyudaya Gupta, Sayak Mukherjee, Kuldeep Saha · 2026

On the equivariant $KU_G$-local sphere for finite abelian groups Yingxin Li · 2026

Left exact monoidal localizations from tidy maps Mathieu Anel, Georg Biedermann, Eric Finster, André Joyal · 2026

The Hochschild Homology of Reedy Categories Alexandra Ballow · 2026

Slices of the special linear algebraic cobordism spectrum Ahina Nandy, Oliver Röndigs, Egor Zolotarev · 2026

Universal Assembly and Cellular Loop Spaces on Regular CW Complexes Serhii Dylda, Tibor Macko · 2026

Формирование признаков на основе методов вычислительной топологии Чуканов С. Н. · 2023

Loop Space Splittings for Codimensional Sphere Bundles Wen Shen · 2026

A Complete Classification of 2-Linear Neighborhood Complexes Mohammed Rafiq Namiq · 2026

Composition of bispans of $G$-sets and plethysm Nathan Cornelius, Evan Franchere, Usman Hafeez, Jesse Keyes, David Mehrle, Lakshay Modi, Nathaniel Stapleton · 2026

Modular inequalities and Alexander polynomials of pencil type conic-line arrangements Anca Macinic · 2026

On modular inequalities for plane projective curves Jose Ignacio Cogolludo-Agustín, Anca Măcinic · 2026

A Hurewicz Theorem for $RO(C_2)$-graded Equivariant Homology Governed by Vector Fields on Spheres Manyi Guo, Guchuan Li, Yunze Lu, Sihao Ma, Yuchen Wu, Zhouli Xu, Albert Jinghui Yang, Shangjie Zhang · 2026

Topological Field Theories and the Algebraic Structures of the Two-Sphere Chris Li · 2026

Galois actions on surfaces and a higher genus Grothendieck-Teichmüller group Luciana Basualdo Bonatto, Marcy Robertson · 2026

Minimal intersection radius for $n$ growing, non-homogeneous ellipsoids in $\mathbb{R}^d$ Barbara Giunti, Sean Hill, Felix X. -F. Ye · 2026

Infinite-dimensionality of the rational homotopy groups of the space of long embeddings of codimension 2 Daiki Irikura · 2026

Regular clock map and trace space Philippe Gaucher · 2026

A Stable Distance Persistence Homology for Dynamic Bayesian Network Clustering Will Bales, Carmen Rovi · 2026

BV pushforward as a quasi-isomorphism Alberto S. Cattaneo, Pavel Mnev · 2026

The group of homotopy self-equivalences is a Lax functor Toshihiro Yamaguchi, Shoji Yokura · 2026

The classification of integral endotrivial complexes Juan Omar Gómez, Sam K. Miller · 2026

Characterizing simplicial commutative algebras with vanishing André-Quillen homology James M. Turner · 2004

Generalisable presentations and compactness properties of locally compact right-angled Artin groups Ilaria Castellano, Bianca Marchionna, Brita Nucinkis, Yuri Santos Rego · 2026

On the top-degree cohomology groups of congruence subgroups of $\text{Sp}_{2n}(\mathbb{Z})$ Fabio Capovilla-Searle · 2026

Differential graded Hopf algebra structure on free symmetric cosimplicial operads Calvin Tcheka, Batkam Mbatchou V. Jacky, Guy R. Biyogmam · 2026

On the equivariant $KU_G$ local sphere for finite abelian groups Yingxin Li · 2026

Bulk-Edge Correspondence via Higher Gauge Theory Hisham Sati, Urs Schreiber · 2026

Invariants of real affine varieties based on their complexifications Juliusz Banecki · 2026

Topological symmetric and braid homologies Gabriel Angelini-Knoll, David Chan, Teena Gerhardt, Mona Merling, Maximilien Péroux · 2026

A Nilpotence Theorem for Rational Rigid 2-Rings of Moderate Growth Logan Hyslop · 2026

Eilenberg–Steenrod Axioms for Homology and Cohomology Theories Mahima Ranjan Adhikari · 2016

Interactions of homotopy and homology · 2026

Secondary Ext of the Fiber of $Sq^n$ and the Secondary Adams Spectral Sequence Dang Vo Phuc · 2026

Derived sheaves in locally conformally symplectic geometry Adrien Currier · 2026

Categories, Functors and Natural Transformations Robert M. Switzer · 2002

The Adams Spectral Sequence and the e-Invariant Robert M. Switzer · 2002

Bifunction and Interlevel Delaunay Trifiltrations Ángel Javier Alonso, Michael Kerber, Tung Lam, Michael Lesnick, Abhishek Rathod · 2026

An extension of fractal Euler number via persistent homology Kosuke Nishijima · 2026

Interaction Residues and Localized Spectral Defects in Stratified Operadic Systems Shih-Yu Chang · 2026

Motivic Segre classes of Schubert cells and the connective formal group law Raj Gandhi · 2026

Retraction of the complement of smooth projective curves to a $2$-dimensional $Δ$-complex E. Artal, A. Larraya Sancho, M. A. Marco Buzunariz · 2026

Morse flow categories as exit path categories Colin Fourel · 2026

О ГОСУДАРСТВЕННОЙ РЕГИСТРАЦИИ ТОПОЛОГИЙ ИНТЕГРАЛЬНЫХ МИКРОСХЕМ Земсков Дмитрий Олегович · 2023

ИССЛЕДОВАНИЯ ПО ГЕОМЕТРИИ В ОМСКЕ И ОМСКИЕ ГЕОМЕТРЫ А. К. Гуц · 2025

Топология слоений Лиувилля трехмерных биллиардов с проскальзыванием Белозеров Г. В., Завьялов В. Н. · 2025

Дом экзистенции: топология человеческого бытия Разова Елена Леонидовна · 2025

Universal Structure of Graph Product Kernels Ian J. Leary, Nansen Petrosyan · 2026

An algebraic model for rational ultracommutative rings William Balderrama, Jack Morgan Davies, Sil Linskens · 2026

Universal Coefficient Theorems · 2022

Irremediably singular quantum branched covers Alexandru Chirvasitu · 2026

$E$-theory of $X$-$C^{*}$-algebras and functor formalisms Ulrich Bunke · 2026

On The Morse Ensemble Polynomial Of Simplicial Complexes Chong Zheng · 2026

Flux Quantization of Type IIA in Unstable K-Theory Pinak Banerjee, Hisham Sati, Urs Schreiber · 2026

Polynomial $2$-monads and delooping Florian De Leger · 2026

Affine models for Noetherian schemes Alexey G. Gorinov, Egor S. Kosolapov · 2026

Obstructed subhomogeneous-bundle extensions and embeddings Alexandru Chirvasitu · 2026

Algebraic Topology · 2023

Cohomology Operations and Homology Cooperations Robert M. Switzer · 2002

The discrete homotopy hypothesis for directed graphs Briony Eldridge, Sergei O. Ivanov, Xiaomeng Xu, Shing-Tung Yau, Mengmeng Zhang · 2026

The top cohomology of principal congruence subgroups of special linear groups over Euclidean number rings Urshita Pal · 2026

The fundamental weighted category of a weighted space: From directed to weighted algebraic topology Marco Grandis · 2007

On the Adams 𝐸₂-term for elliptic cohomology Andrew Baker · 2001

An extension of fractal Euler number via persistent homology K. Nishijima · 2026

Empirical Hodge Laplacians, Cohomology Ring, and Manifold Learning Hông Vân Lê · 2026

The inflation functor in pluripotential homological algebra Pedro Magalhães, Anna Sopena-Gilboy · 2026

On the cohomological classification of vector bundles on smooth real affine surfaces and threefolds Samuel Lerbet · 2026

Quasimonophobic graphs and degree spectral sequences in discrete cubical homology Samira Sahar Jamil, Mark Behrens · 2026

Stable Cohomotopy in Codimensions Two and Three: From Algebraic Characterizations to Bordism-Theoretic Interpretations Pengcheng Li, Jianzhong Pan, Jie Wu · 2026

Spectra of bi-incomplete Tambara functors Scott Balchin, J. D. Quigley, Ben Spitz · 2026

Straight-line trajectories on the Mucube Andre Oliveira, Felipe A. Ramírez, Chandrika Sadanand, Sunrose T. Shrestha · 2026

Homotopy exponents of polyhedral products Briony Eldridge · 2026

Homology and Cohomology · 2022

Homology and Cohomology Theories Robert M. Switzer · 2002

Obstructions for Associativity in Stable Homotopy Theory Sophus Valentin Willumsgaard · 2026

Quillen-McCord theorem for persistence finite posets Vitalii Guzeev, Kohei Tanaka · 2026

Weil-Moore anima Dustin Clausen · 2026

Singular multivalued homology Alejandro O. Majadas-Moure · 2026

Combinatorial Models for Linear Homotopy Theories Atabey Kaygun · 2026

Relative $\mathbb{A}^1$-Contractibility of Smooth Schemes Adrien Dubouloz, Krishna Kumar Madhavan Vijayalakshmi, Paul Arne Østvær · 2026

TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information Matteo Biagetti, Mathieu Carrière, Francesco Conti, Enrico Maria Ferrari, Sven Heydenreich, Karthik Viswanathan · 2026

Shape theory for condensed anima Catrin Mair · 2026

Cohomology · 2016

Vector Bundles and K-Theory Robert M. Switzer · 2002

Smooth categories in a 6 functor formalism and compact generation for nuclear categories in analytic geometry Matteo Montagnani · 2026

Tverberg cores and Kalai's cascade conjecture Pablo Soberón · 2026

The Coefficients of the $C_p$-Equivariant Geometric Complex Cobordism Sebastian Gómez Rendón · 2026

Gaussian Sheaf Neural Networks André Ribeiro, Ana Luiza Tenório, Tiago da Silva, Diego Mesquita · 2026

Homotopy Non-Invariance of the String Cobracket and the Failure of the Lie Bialgebra Structure Isana Sumoto · 2026

The Galois theory of $G$-spectra and the Burnside ring Niko Naumann, Luca Pol, Maxime Ramzi · 2026

On Galois categories and condensed contractible schemes Catrin Mair · 2026

Surgery on manifold operads Xujia Chen, Connor Malin, Paolo Salvatore · 2026

$E$-theory of $X$-$C^{*}$-algebras and functor formalisms Ulrich Bunke · 2026

Tensor triangular geometry -- Notes for an Oberwolfach Seminar Henning Krause · 2026

Homology and Cohomology of Small Categories · 2020

Homology II: Cohomology to Ranking Problems Hal Schenck · 2022

Power set operads Mathieu Vallée · 2026

Accessibility and Gorenstein injective envelopes Sergio Estrada, James Gillespie · 2026

Equivariant CW-complexes homotopy equivalent to spheres: a survey Ian Hambleton, Ergun Yalcin · 2026

Geometry-Aware Simplicial Message Passing Elena Xinyi Wang, Bastian Rieck · 2026

On Weakly Contractible Non-Contractible Finite Topological Spaces of Ten Points Ponaki Das, Sainkupar Marwein Mawiong · 2026

No Triangulation Without Representation: Generalization in Topological Deep Learning Johannes S. Schmidt, Martin Carrasco, Ernst Röell, Guy Wolf, Nello Blaser, Bastian Rieck · 2026

A projective resolution of the symplectic Steinberg module Urshita Pal · 2026

Mayer Path Homology Dilan Karaguler, Guo-Wei Wei · 2026

Flexible exponent of geometric 3-manifolds and Legendrian maps of Seifert spaces Jianru Duan, Jianfeng Lin, Shicheng Wang, Zhongzi Wang, Dongyi Wei · 2026

Derived sheaves in locally conformally symplectic geometry Adrien Currier · 2026

Weak and Strong Fibrations of Functors Isaac Carcacía-Campos, Enrique Macías-Virgós, David Mosquera-Lois · 2026

Homotopy groups and twisted homology of arrangements Richard Randell · 2009

Topological Hochschild homology and the de Rham-Witt complex for ℤ_{(𝕡)}-algebras Lars Hesselholt · 2004

Weights of circle actions on oriented manifolds with isolated fixed points Donghoon Jang · 2026

Homotopy coherent Gysin functoriality Frédéric Déglise, Niels Feld, Fangzhou Jin · 2026

Geometric Categories and Sheaves on Topoi Connor Bass · 2026

From Diaz's Enriques Product to an $n$-Fold Cup-Product Bockstein Family of Integral Hodge Counterexamples Abdul Rahman · 2026

Calculation of the Cobordism Groups Robert M. Switzer · 2002

Oriented cohomology theories of algebraic varieties II Ivan Panin · 2009

TopoGeoScore: A Self-Supervised Source-Only Geometric Framework for OOD Checkpoint Selection Farid Hazratian, Ali Zia, Hien Duy Nguyen · 2026

Purity of quaternionic conjugation spaces Surojit Ghosh, Ankit Kumar, Lakshit Pande · 2026

Highly connected non-formal Milnor fibers via polyhedral products Alexander I. Suciu · 2026

Higher-order Persistence Diagrams Charles Fanning, Mehmet Aktas · 2026

An algebraic model for the loop space homology of a homotopy fiber Kathryn Hess, Ran Levi · 2007

Rational 𝑆𝑂(3)-equivariant cohomology theories J. P. C. Greenlees · 2001

Chain complexes, homology, and cohomology James Davis, Paul Kirk · 2001

Sophisticated Relations between Homotopy and Homology Jean Dieudonné · 2009

The Various Homology and Cohomology Theories Jean Dieudonné · 2009

Singular Homology and Cohomology · 2022

Some Facts from General Topology Robert M. Switzer · 2002

Properties of the Homotopy Groups Robert M. Switzer · 2002

Products Robert M. Switzer · 2002

Alexander and Alexander–Lefschetz Duality · 2022

Presheaves and Sheaves; Basics · 2022

Čech Cohomology with Values in a Presheaf · 2022

Homotopy Properties of CW-Complexes Robert M. Switzer · 2002

The Zero Slice of Quaternionic Real Bordism Bertrand J. Guillou, Jesse Keyes, David Mehrle · 2026

Moment-angle manifolds associated to neighbourly triangulations of spheres Amaranta Membrillo Solis, Stephen Theriault · 2026

Persistent Homology of Time Series through Complex Networks İsmail Güzel · 2026

An Orlov theorem for matrix factorizations with multiple factors Alessandro Lehmann, Nicolò Sibilla · 2026

Euclidean distance degree defect of singular projective varieties Laurenţiu G. Maxim, Jose Israel Rodriguez, Botong Wang · 2026

Non-vanishing of homotopy groups of Manin--Schechtman arrangements Takuya Saito, So Yamagata · 2026

ToMAToMP: Robust and Multi-Parameter Topological Clustering Ludo Andrianirina, Mathieu Carrière · 2026

Sphericalization and the Universal Spherical Adjunction Fernando Abellán, Jonte Gödicke · 2026

A Closed-Form Adaptive-Landmark Kernel for Certified Point-Cloud and Graph Classification Sushovan Majhi, Atish Mitra, Žiga Virk, Pramita Bagchi · 2026

Minimal generating sets of transfer systems for more non-Abelian Groups Bheemarasetty Chakravarthy, Surojit Ghosh · 2026

Higher Smooth Surgery Structure Sets of Complex Projective Spaces, Part I Samuel Kalužný, Tibor Macko · 2026

Integral Homology and Poincaré Polynomials of classical and exceptional Real Flag Manifolds Jordan Lambert, Lonardo Rabelo · 2026

Homotopy Invariance of Homology Marvin J. Greenberg, John R. Harper · 2018

Homology and Cohomology Theories Mahima Ranjan Adhikari · 2016