Asymptotic homology of graph braid groups

Byung Hee An; Gabriel C. Drummond-Cole; Ben Knudsen

doi:10.2140/gt.2022.26.1745

Asymptotic homology of graph braid groups

Byung Hee An, Gabriel C. Drummond-Cole, Ben Knudsen

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

Abstract

We give explicit formulas for the asymptotic Betti numbers of the unordered configuration spaces of an arbitrary finite graph over an arbitrary field.

Original language	English
Pages (from-to)	1745-1771
Number of pages	27
Journal	Geometry and Topology
Volume	26
Issue number	4
DOIs	https://doi.org/10.2140/gt.2022.26.1745
State	Published - 2022

Access to Document

10.2140/gt.2022.26.1745

Cite this

@article{7fbebea582fa43faa23d94d77cb8440a,

title = "Asymptotic homology of graph braid groups",

abstract = "We give explicit formulas for the asymptotic Betti numbers of the unordered configuration spaces of an arbitrary finite graph over an arbitrary field.",

author = "An, {Byung Hee} and Drummond-Cole, {Gabriel C.} and Ben Knudsen",

note = "Publisher Copyright: {\textcopyright} The Authors.",

year = "2022",

doi = "10.2140/gt.2022.26.1745",

language = "English",

volume = "26",

pages = "1745--1771",

journal = "Geometry and Topology",

issn = "1465-3060",

publisher = "University of Warwick",

number = "4",

}

TY - JOUR

T1 - Asymptotic homology of graph braid groups

AU - An, Byung Hee

AU - Drummond-Cole, Gabriel C.

AU - Knudsen, Ben

N1 - Publisher Copyright: © The Authors.

PY - 2022

Y1 - 2022

N2 - We give explicit formulas for the asymptotic Betti numbers of the unordered configuration spaces of an arbitrary finite graph over an arbitrary field.

AB - We give explicit formulas for the asymptotic Betti numbers of the unordered configuration spaces of an arbitrary finite graph over an arbitrary field.

UR - http://www.scopus.com/inward/record.url?scp=85141379333&partnerID=8YFLogxK

U2 - 10.2140/gt.2022.26.1745

DO - 10.2140/gt.2022.26.1745

M3 - Article

AN - SCOPUS:85141379333

SN - 1465-3060

VL - 26

SP - 1745

EP - 1771

JO - Geometry and Topology

JF - Geometry and Topology

IS - 4

ER -

Asymptotic homology of graph braid groups

Abstract

Access to Document

Other files and links

Fingerprint

Cite this