Algebraic Topology

Authors and titles for math.AT in Jul 2019

[1]  arXiv:1907.00066 [pdf, other]

Title: Lectures on Factorization Homology, Infinity-Categories, and Topological Field Theories

Authors: Araminta Amabel, Artem Kalmykov, Lukas Müller, Hiro Lee Tanaka

Comments: Preprint of a book of the same title to be published 2021 by SpringerBriefs in Mathematical Physics, reproduced with permission of Springer International Publishing

Journal-ref: SpringerBriefs in Mathematical Physics, 2021

Subjects: Algebraic Topology (math.AT); Mathematical Physics (math-ph); Quantum Algebra (math.QA); Representation Theory (math.RT)

[2]  arXiv:1907.00473 [src]

Title: The two digital homology theories

Authors: P. Christopher Staecker

Comments: Insurmountable errors. The correct bits of this material are now part of "Digital homotopy relations and digital homology theories" by the same author

Subjects: Algebraic Topology (math.AT); General Topology (math.GN)

[3]  arXiv:1907.00653 [pdf, ps, other]

Title: Random Simplicial Complexes in the Medial Regime

Authors: Michael Farber, Lewis Mead

Comments: 23 pages. v2 contains an updated abstract

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

[4]  arXiv:1907.00933 [pdf, ps, other]

Title: Biased permutative equivariant categories

Authors: Kayleigh Bangs, Skye Binegar, Young Kim, Kyle Ormsby, Angélica M. Osorno, David Tamas-Parris, Livia Xu

Comments: To appear in HHA

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

[5]  arXiv:1907.01539 [pdf, other]

Title: The Bredon-Landweber region in $C_2$-equivariant stable homotopy groups

Authors: Bertrand J. Guillou, Daniel C. Isaksen

Comments: 13 pages. Comments welcome!

Subjects: Algebraic Topology (math.AT)

[6]  arXiv:1907.02141 [pdf, ps, other]

Title: Acyclic $2$-dimensional complexes and Quillen's conjecture

Authors: Kevin I. Piterman, Iván Sadofschi Costa, Antonio Viruel

Comments: 13 pages

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

[7]  arXiv:1907.02624 [pdf, ps, other]

Title: Regular coverings and fundamental groupoids of Alexandroff spaces

Authors: Nicolás Cianci

Subjects: Algebraic Topology (math.AT)

[8]  arXiv:1907.02904 [pdf, ps, other]

Title: An Introduction to Higher Categorical Algebra

Authors: David Gepner

Comments: 69 pages, hyperlinks added

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

[9]  arXiv:1907.02930 [pdf, ps, other]

Title: The homotopy types of $U(n)$-gauge groups over lens spaces

Authors: Ingrid Membrillo-Solis, Stephen Theriault

Comments: 14 pages

Subjects: Algebraic Topology (math.AT)

[10]  arXiv:1907.03301 [pdf, ps, other]

Title: Cyclic structures and broken cycles

Authors: Hiro Lee Tanaka

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

[11]  arXiv:1907.03477 [pdf, ps, other]

Title: Bökstedt periodicity and quotients of DVRs

Authors: Achim Krause, Thomas Nikolaus

Comments: 35 pages

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

[12]  arXiv:1907.03614 [pdf, ps, other]

Title: Fiber bundles over Alexandroff spaces

Authors: Nicolás Cianci, Miguel Ottina

Comments: 27 pages. Most of the results have been generalized and the overall presentation of the article has been bettered. In addition, several new results have been added

Subjects: Algebraic Topology (math.AT)

[13]  arXiv:1907.03681 [pdf, ps, other]

Title: A new tool to study the fixed point property of finite posets

Authors: Ana Gargantini, Miguel Ottina

Comments: 21 pages

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

[14]  arXiv:1907.03836 [pdf, ps, other]

Title: Localization theory in an $\infty$-topos

Authors: Marco Vergura

Comments: 28 pages

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

[15]  arXiv:1907.03837 [pdf, ps, other]

Title: $L'$-localization in an $\infty$-topos

Authors: Marco Vergura

Comments: 26 pages

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

[16]  arXiv:1907.03923 [pdf, other]

Title: Generalized bornological coarse spaces and coarse motivic spectra

Authors: Daniel Heiss

Comments: 27 pages

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

[17]  arXiv:1907.03972 [pdf, ps, other]

Title: Fibrations between finite topological spaces

Authors: Nicolás Cianci, Miguel Ottina

Comments: 33 pages

Subjects: Algebraic Topology (math.AT)

[18]  arXiv:1907.03974 [pdf, ps, other]

Title: Homology of posets with functor coefficients and its relation to Khovanov homology of knots

Authors: Nicolás Cianci, Miguel Ottina

Comments: 18 pages

Subjects: Algebraic Topology (math.AT)

[19]  arXiv:1907.03977 [pdf, other]

Title: Homotopy-coherent algebra via Segal conditions

Authors: Hongyi Chu, Rune Haugseng

Comments: 66 pages, v2: Fixed a serious mistake in the relation between extendable patterns and polynomial monads, v3: Many small corrections and improvements

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

[20]  arXiv:1907.04454 [pdf, ps, other]

Title: A commutative model for PL compactly supported cohomology in characteristic zero

Authors: Tom Sutton

Subjects: Algebraic Topology (math.AT)

[21]  arXiv:1907.04777 [pdf, other]

Title: The cohomology rings of homogeneous spaces

Authors: Matthias Franz

Comments: 52 pages; new Sections 2.2 (Notation) and 13 (Examples), appendix expanded, minor changes

Journal-ref: J. Topol. 14 (2021), 1396-1447

Subjects: Algebraic Topology (math.AT)

[22]  arXiv:1907.04778 [pdf, other]

Title: Homotopy Gerstenhaber algebras are strongly homotopy commutative

Authors: Matthias Franz

Comments: 33 pages; one reference added, minor changes

Journal-ref: J. Homotopy Relat. Struct. 15 (2020), 557-595

Subjects: Algebraic Topology (math.AT)

[23]  arXiv:1907.04782 [pdf, other]

Title: Homotopy Gerstenhaber formality of Davis-Januszkiewicz spaces

Authors: Matthias Franz

Comments: 22 pages; conventions in Section 2.7 clarified, new Remark 3.2, minor changes

Journal-ref: Homology Homotopy Appl. 23 (2021), 325-347

Subjects: Algebraic Topology (math.AT)

[24]  arXiv:1907.04791 [pdf, other]

Title: The cohomology rings of smooth toric varieties and quotients of moment-angle complexes

Authors: Matthias Franz

Comments: Dedicated to Volker Puppe on the occasion of his 80th birthday. 26 pages; formulas (7.13) and (7.15) corrected

Journal-ref: Geom. Topol. 25 (2021) 2109-2144

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

[25]  arXiv:1907.04970 [pdf, ps, other]

Title: Chromatic (co)homology of finite general linear groups

Authors: Samuel Hutchinson, Samuel Marsh, Neil Strickland

Comments: Revised in response to referee's comments: added outline, additional context and references, and index of notation; various other minor changes

Journal-ref: Algebr. Geom. Topol. 22 (2022) 1511-1614

Subjects: Algebraic Topology (math.AT)