Asymptotic homology of graph braid groups

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

doi:10.2140/gt.2022.26.1745

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Asymptotic homology of graph braid groups

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

Geometry & Topology 26 (2022) 1745–1771

DOI: 10.2140/gt.2022.26.1745

Abstract

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

Keywords

configuration spaces, graph braid groups, homological stability

Mathematical Subject Classification

Primary: 20F36, 55R80

References

Publication

Received: 30 June 2020

Revised: 15 April 2021

Accepted: 3 June 2021

Published: 28 October 2022

Proposed: Ulrike Tillmann

Seconded: Nathalie Wahl, Haynes R Miller

Authors

Byung Hee An
Department of Mathematics Education Teachers College, Kyungpook National University Daegu South Korea

Gabriel C Drummond-Cole
Center for Geometry and Physics Institute for Basic Science (IBS) Pohang South Korea

Ben Knudsen
Mathematics Department Northeastern University Boston, MA United States

Volume 26, issue 4 (2022)