Algebraic Topology

Authors and titles for February 2021

[1] arXiv:2102.00468 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: On the Universal Coefficient Formula and Derived $\varprojlim ^{(i)} $ Functor Show Chinese title

Title: 关于普遍系数公式和导出$\varprojlim ^{(i)} $函子

Anzor Beridze, Leonard Mdzinarishvili

Subjects: Algebraic Topology (math.AT)

[2] arXiv:2102.00606 (cross-list from math.AT) [cn-pdf, pdf, html, other]

Title: Homotopy type of the unitary group of the uniform Roe algebra on $\mathbb{Z}^n$ Show Chinese title

Title: 单位化Roe代数在$\mathbb{Z}^n$上的酉群的同伦类型

Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya

Comments: 15 pages

Journal-ref: J. Topol. Anal.15(2023), no.2, 495-512

Subjects: Algebraic Topology (math.AT) ; K-Theory and Homology (math.KT) ; Operator Algebras (math.OA)

[3] arXiv:2102.01477 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Classification of fiber sequences with a prescribed holonomy action Show Chinese title

Title: 纤维序列的分类具有预定的全纯作用

Mario Fuentes

Subjects: Algebraic Topology (math.AT)

[4] arXiv:2102.03212 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: On the generalized Andrews-Curtis-Problem -- A Disproof of the Relative Case Show Chinese title

Title: 关于广义 Andrews-Curtis 问题——相对情况的反证

Wolfgang Metzler

Comments: Theorem and Proof can speak only of Q*-equivalences. Whether this excludes the given relative (AC')-counterexamples, is not yet clear

Subjects: Algebraic Topology (math.AT)

[5] arXiv:2102.03967 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: The Embedded Homology of Hypergraph Pairs Show Chinese title

Title: 超图对的嵌入同调

Shiquan Ren, Jie Wu, Mengmeng Zhang

Subjects: Algebraic Topology (math.AT) ; Combinatorics (math.CO)

[6] arXiv:2102.04415 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Self-duality of the lattice of transfer systems via weak factorization systems Show Chinese title

Title: 通过弱因子分解系统的传递系统格的自对偶性

Evan E. Franchere, Kyle Ormsby, Angélica M Osorno, Weihang Qin, Riley Waugh

Comments: 19 pages. To appear in Homology, Homotopy, and Applications

Subjects: Algebraic Topology (math.AT)

[7] arXiv:2102.04856 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: On Axiomatic Characterization of Alexander-Spanier Normal Homology Theory of General Topological Spaces Show Chinese title

Title: 关于一般拓扑空间的亚历山大-斯潘尼尔正规同调理论的公理化特征

Vladimer Baladze, Anzor Beridze, Leonard Mdzinarishvili

Subjects: Algebraic Topology (math.AT)

[8] arXiv:2102.04876 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: A stratified Kan-Quillen equivalence Show Chinese title

Title: 一种分层的Kan-Quillen等价

Sylvain Douteau

Comments: 33 pages

Subjects: Algebraic Topology (math.AT)

[9] arXiv:2102.06577 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Generalized persistence and graded structures Show Chinese title

Title: 广义持续性和分次结构

Eero Hyry, Markus Klemetti

Comments: 25 pages, to appear in Homology, Homotopy and Applications

Subjects: Algebraic Topology (math.AT)

[10] arXiv:2102.06724 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Homotopy Mackey functors of equivariant algebraic $K$-theory Show Chinese title

Title: 等变代数$K$-理论的同伦Mackey函子

Thomas Brazelton

Comments: 39 pages, comments welcome!

Subjects: Algebraic Topology (math.AT) ; K-Theory and Homology (math.KT) ; Rings and Algebras (math.RA)

[11] arXiv:2102.06927 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: A remark on singular cohomology and sheaf cohomology Show Chinese title

Title: 关于奇异上同调与层上同调的备注

Dan Petersen

Comments: 6 pages. v3: Improvements in exposition. Final version to appear in Math Scand

Subjects: Algebraic Topology (math.AT)

[12] arXiv:2102.06971 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Stratified Homotopy Theory and a Whitehead Group for Stratified Spaces Show Chinese title

Title: 分层同伦理论和分层空间的怀特海德群

Lukas Waas

Subjects: Algebraic Topology (math.AT)

[13] arXiv:2102.07157 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Cohomology of spaces of Hopf equivariant maps of spheres Show Chinese title

Title: 空间的Hopf等变映射上同调

V.A. Vassiliev

Subjects: Algebraic Topology (math.AT)

[14] arXiv:2102.07249 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Effectual Topological Complexity Show Chinese title

Title: 有效拓扑复杂度

Natalia Cadavid-Aguilar, Jesús González, Bárbara Gutiérrez, Cesar A. Ipanaque-Zapata

Comments: 19 pages

Subjects: Algebraic Topology (math.AT)

[15] arXiv:2102.07670 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: A computer algebra system for the study of commutativity up-to-coherent homotopies Show Chinese title

Title: 用于研究至同伦的交换性的计算机代数系统

Anibal M. Medina-Mardones

Subjects: Algebraic Topology (math.AT) ; Mathematical Software (cs.MS)

[16] arXiv:2102.08260 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Euler Characteristic Surfaces Show Chinese title

Title: 欧拉特征曲面

Gabriele Beltramo, Rayna Andreeva, Ylenia Giarratano, Miguel O. Bernabeu, Rik Sarkar, Primoz Skraba

Subjects: Algebraic Topology (math.AT) ; Computational Geometry (cs.CG)

[17] arXiv:2102.09380 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Topological data analysis of C. elegans locomotion and behavior Show Chinese title

Title: 线虫运动和行为的拓扑数据分析

Ashleigh Thomas, Kathleen Bates, Alex Elchesen, Iryna Hartsock, Hang Lu, Peter Bubenik

Comments: 27 pages, 15 figures/tables

Journal-ref: Front. Artif. Intell. 4:668395 (2021)

Subjects: Algebraic Topology (math.AT) ; Quantitative Methods (q-bio.QM)

[18] arXiv:2102.09522 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Wheel graph homology classes via Lie graph homology Show Chinese title

Title: 通过李图同调的轮图同调类

Benjamin C. Ward

Comments: preliminary version; comments very welcome

Journal-ref: J. Noncommut. Geom. 17 (2023), no. 2

Subjects: Algebraic Topology (math.AT)

[19] arXiv:2102.09830 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Homology of sheaves via Brown representability Show Chinese title

Title: 层的同调通过布朗表示性

Fernando Sancho de Salas

Subjects: Algebraic Topology (math.AT)

[20] arXiv:2102.10445 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3-manifolds Show Chinese title

Title: 关于有限体积3-流形的双曲Dehn填充的有限可区分性

Paul Rapoport

Comments: 12 pages, 0 figures

Journal-ref: Algebr. Geom. Topol. 24 (2024) 4779-4797

Subjects: Algebraic Topology (math.AT) ; Logic (math.LO)

[21] arXiv:2102.11397 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: The Persistent Homology of Dual Digital Image Constructions Show Chinese title

Title: 双重数字图像构造的持久同调

Bea Bleile, Adélie Garin, Teresa Heiss, Kelly Maggs, Vanessa Robins

Journal-ref: Research in Computational Topology 2. Cham: Springer International Publishing, 2022. 1-26

Subjects: Algebraic Topology (math.AT)

[22] arXiv:2102.11458 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Group actions on contractible $2$-complexes I Show Chinese title

Title: 群作用在可缩的$2$-复形上 I

Iván Sadofschi Costa

Comments: To appear in Inventiones mathematicae

Subjects: Algebraic Topology (math.AT) ; Group Theory (math.GR) ; Representation Theory (math.RT)

[23] arXiv:2102.11459 (cross-list from math.AT) [cn-pdf, pdf, html, other]

Title: Group actions on contractible $2$-complexes II Show Chinese title

Title: 群作用在可缩的$2$-复形上 II

Kevin Ivan Piterman, Iván Sadofschi Costa

Comments: To appear in Inventiones mathematicae

Subjects: Algebraic Topology (math.AT) ; Group Theory (math.GR) ; Representation Theory (math.RT)

[24] arXiv:2102.12325 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Constructible hypersheaves via exit paths Show Chinese title

Title: 通过退出路径构造可构造的超层

Damien Lejay

Comments: 30 pages

Subjects: Algebraic Topology (math.AT)

[25] arXiv:2102.13246 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Multiplicative equivariant $K$-theory and the Barratt-Priddy-Quillen theorem Show Chinese title

Title: 乘法等变 $K$-理论和Barratt-Priddy-Quillen定理

Bertrand J. Guillou, J. Peter May, Mona Merling, Angélica M. Osorno

Subjects: Algebraic Topology (math.AT) ; Category Theory (math.CT) ; K-Theory and Homology (math.KT)

[26] arXiv:2102.13511 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: On the topological complexity of toral relatively hyperbolic groups Show Chinese title

Title: 论环面相对双曲群的拓扑复杂性

Kevin Li

Comments: 7 pages, comments welcome

Subjects: Algebraic Topology (math.AT) ; Group Theory (math.GR)

[27] arXiv:2102.00190 (cross-list from math.CO) [cn-pdf, pdf, other]

Title: Golod and tight 3-manifolds Show Chinese title

Title: 古洛德和紧致三维流形

Kouyemon Iriye, Daisuke Kishimoto

Comments: 19 pages

Journal-ref: Algebr. Geom. Topol. 23 (2023) 2191-2212

Subjects: Combinatorics (math.CO) ; Algebraic Topology (math.AT) ; Geometric Topology (math.GT)

[28] arXiv:2102.00634 (cross-list from math.CT) [cn-pdf, pdf, other]

Title: Moment categories and operads Show Chinese title

Title: 矩类和操作符

Clemens Berger

Comments: Final version

Journal-ref: Theory Appl. Categ. 38 (2022), 1485-1537

Subjects: Category Theory (math.CT) ; Algebraic Topology (math.AT)

[29] arXiv:2102.00936 (cross-list from math.KT) [cn-pdf, pdf, other]

Title: K-theory and polynomial functors Show Chinese title

Title: K理论和多项式函子

Clark Barwick, Saul Glasman, Akhil Mathew, Thomas Nikolaus

Comments: v2: added new section on THH(F_p) and other minor corrections

Subjects: K-Theory and Homology (math.KT) ; Algebraic Topology (math.AT)

[30] arXiv:2102.00999 (cross-list from math.CT) [cn-pdf, pdf, other]

Title: Stabilization and costabilization with respect to an action of a monoidal category Show Chinese title

Title: 关于单子范畴作用的稳定化和协稳定化

Mehmet Akif Erdal, Özgün Ünlü

Comments: Extended to an enriched setting to cover more examples. Typos and minor errors are fixed

Subjects: Category Theory (math.CT) ; Algebraic Topology (math.AT)

[31] arXiv:2102.01104 (cross-list from math.CT) [cn-pdf, pdf, other]

Title: Induced model structures for higher categories Show Chinese title

Title: 高阶范畴的诱导模型结构

Philip Hackney, Martina Rovelli

Comments: 15 pages, to appear in Proc. Amer. Math. Soc

Journal-ref: Proc. Amer. Math. Soc. 150 (2022), 4629-4644

Subjects: Category Theory (math.CT) ; Algebraic Topology (math.AT)

[32] arXiv:2102.01566 (cross-list from math.KT) [cn-pdf, pdf, other]

Title: Nilpotent invariance of semi-topological K-theory of dg-algebras and the lattice conjecture Show Chinese title

Title: 微分分次代数的半拓扑K理论的幂零不变性与格猜想

Andrey Konovalov

Comments: 20 pages. Comments welcome

Subjects: K-Theory and Homology (math.KT) ; Algebraic Geometry (math.AG) ; Algebraic Topology (math.AT) ; Category Theory (math.CT)

[33] arXiv:2102.02056 (cross-list from math.GR) [cn-pdf, pdf, other]

Title: Fixed Point Property of Amenable Planar Vortexes Show Chinese title

Title: 可均平面漩涡的不动点性质

James F. Peters, Tane Vergili

Comments: 11 pages, 1 Figure. arXiv admin note: substantial text overlap with arXiv:2007.04394

Subjects: Group Theory (math.GR) ; Algebraic Topology (math.AT)

[34] arXiv:2102.02198 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Continuation Sheaves in Dynamics: Sheaf Cohomology and Bifurcation Show Chinese title

Title: 动力学中的延续层：层上同调与分岔

K. Dowling, W.D. Kalies, R.C.A.M. Vandervorst

Subjects: Dynamical Systems (math.DS) ; Algebraic Topology (math.AT) ; Category Theory (math.CT)

[35] arXiv:2102.02941 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Invertible phases for mixed spatial symmetries and the fermionic crystalline equivalence principle Show Chinese title

Title: 可逆相位对于混合空间对称性和费米子晶体等价原理

Arun Debray

Comments: 88 pages. Comments welcome! v2: fixed a few incorrect calculations

Subjects: Mathematical Physics (math-ph) ; Strongly Correlated Electrons (cond-mat.str-el) ; High Energy Physics - Theory (hep-th) ; Algebraic Topology (math.AT)

[36] arXiv:2102.03449 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: Fibration structure for Gromov h-principle Show Chinese title

Title: 纤维结构对于Gromov h-原理

Koji Yamazaki

Comments: 55 pages, 2 figures

Subjects: Differential Geometry (math.DG) ; Algebraic Topology (math.AT) ; Category Theory (math.CT)

[37] arXiv:2102.03965 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Stable diffeomorphism classification of some unorientable 4-manifolds Show Chinese title

Title: 某些非定向4-流形的稳定微分同胚分类

Arun Debray

Comments: 10 pages. Comments welcome! v2: fixed an error in an important lemma

Journal-ref: Bull. Lond. Math. Soc. 54 (2022), no. 6, 2219-31

Subjects: Geometric Topology (math.GT) ; Algebraic Topology (math.AT)

[38] arXiv:2102.04099 (cross-list from math.CT) [cn-pdf, pdf, other]

Title: Synthetic Spectra via a Monadic and Comonadic Modality Show Chinese title

Title: 通过单子和余单子的模态生成合成光谱

Mitchell Riley, Eric Finster, Daniel R. Licata

Comments: 75 pages

Subjects: Category Theory (math.CT) ; Algebraic Topology (math.AT) ; Logic (math.LO)

[39] arXiv:2102.04732 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Cellular objects in isotropic motivic categories Show Chinese title

Title: 各向同性动机范畴中的细胞对象

Fabio Tanania

Journal-ref: Geom. Topol. 27 (2023), no. 5, 2013-2048

Subjects: Algebraic Geometry (math.AG) ; Algebraic Topology (math.AT)

[40] arXiv:2102.05190 (cross-list from math.CT) [cn-pdf, pdf, other]

Title: Cartesian Fibrations of Complete Segal Spaces Show Chinese title

Title: 笛卡尔纤维化完全塞加空间

Nima Rasekh

Comments: 27 Pages. Updated references. Comments welcome. arXiv admin note: text overlap with arXiv:1711.03670

Subjects: Category Theory (math.CT) ; Algebraic Topology (math.AT)

[41] arXiv:2102.05192 (cross-list from math.CT) [cn-pdf, pdf, other]

Title: Quasi-Categories vs. Segal Spaces: Cartesian Edition Show Chinese title

Title: 准范畴与塞加尔空间：笛卡尔版

Nima Rasekh

Comments: Final version, Published in Journal of Homotopy and Related Structures

Subjects: Category Theory (math.CT) ; Algebraic Topology (math.AT)

[42] arXiv:2102.05344 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Geometric criteria for $\mathbb A^1$-connectedness and applications to norm varieties Show Chinese title

Title: 几何准则对于$\mathbb A^1$-连通性及在范数品种中的应用

Chetan Balwe, Amit Hogadi, Anand Sawant

Comments: v4: 17 pages, final version before page proofs, accepted for publication in Journal of Algebraic Geometry

Subjects: Algebraic Geometry (math.AG) ; Algebraic Topology (math.AT) ; K-Theory and Homology (math.KT)

[43] arXiv:2102.06146 (cross-list from math.CT) [cn-pdf, pdf, other]

Title: The effective model structure and $\infty$-groupoid objects Show Chinese title

Title: 有效模型结构和$\infty$-群对象

Nicola Gambino, Simon Henry, Christian Sattler, Karol Szumiło

Comments: 67 pages, reflects the final journal version, two additional minor typos fixed

Journal-ref: Forum of Mathematics, Sigma , Volume 10 , 2022 , e34

Subjects: Category Theory (math.CT) ; Algebraic Topology (math.AT)

[44] arXiv:2102.06410 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Representation stability and outer automorphism groups Show Chinese title

Title: 表示稳定性与外自同构群

Luca Pol, Neil P. Strickland

Comments: minor changes in the introduction

Journal-ref: Documenta Mathematica (2022)

Subjects: Representation Theory (math.RT) ; Algebraic Topology (math.AT) ; Category Theory (math.CT)

[45] arXiv:2102.06432 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Covariant constancy of quantum Steenrod operations Show Chinese title

Title: 量子Steenrod运算的协变常性

Paul Seidel, Nicholas Wilkins

Comments: 36 pages, 5 figures. Small changes to exposition, and correction of typos. To appear in the volume in honour of Claude Viterbo's sixtieth birthday in JFPTA, 2022. "This version of the article has been accepted for publication, after peer review, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections." DOI:10.1007/s11784-022-00967-4

Subjects: Symplectic Geometry (math.SG) ; Algebraic Geometry (math.AG) ; Algebraic Topology (math.AT)

[46] arXiv:2102.06654 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Higher algebra of $A_\infty$ and $ΩB As$-algebras in Morse theory I Show Chinese title

Title: 高代数$A_\infty$和$ΩB As$-代数在莫尔斯理论中的研究 I

Thibaut Mazuir

Comments: 93 pages, minor corrections

Subjects: Symplectic Geometry (math.SG) ; Algebraic Topology (math.AT) ; Combinatorics (math.CO) ; Category Theory (math.CT)

[47] arXiv:2102.06672 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Computations of the Comodule Structures of the Chow rings of Flag Varieties Show Chinese title

Title: 旗流形的分次环余模结构的计算

Rui Xiong

Subjects: Algebraic Geometry (math.AG) ; Algebraic Topology (math.AT)

[48] arXiv:2102.06699 (cross-list from math.LO) [cn-pdf, pdf, other]

Title: Simutaneously vanishing higher derived limits without large cardinals Show Chinese title

Title: 同时消失的高阶导出极限而不使用大基数

Jeffrey Bergfalk, Michael Hrušák, Chris Lambie-Hanson

Comments: 30 pages, 1 figure

Subjects: Logic (math.LO) ; Algebraic Topology (math.AT)

[49] arXiv:2102.06723 (cross-list from math.RA) [cn-pdf, pdf, other]

Title: A note on twisted group rings and semilinearization Show Chinese title

Title: 关于扭曲群环和半线性化的一篇笔记

Thomas Brazelton

Comments: This note, to appear in Communications in Algebra, was initially was an appendix to "Homotopy Mackey functors of equivariant algebraic K-theory," but was more elaborate than what was strictly needed in that paper. Since this may be an observation of independent interest in algebra, it has been written up separately

Subjects: Rings and Algebras (math.RA) ; Algebraic Topology (math.AT)

[50] arXiv:2102.07300 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Some Computations on Instanton Knot Homology Show Chinese title

Title: 一些关于瞬子纽结同调的计算

Zhenkun Li, Yi Liang

Comments: accepted version

Subjects: Geometric Topology (math.GT) ; Algebraic Topology (math.AT)