Asymptotic homology of graph braid groups

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

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.

Citation

Download Citation

Byung Hee An. Gabriel C Drummond-Cole. Ben Knudsen. "Asymptotic homology of graph braid groups." Geom. Topol. 26 (4) 1745 - 1771, 2022. https://doi.org/10.2140/gt.2022.26.1745

Information

Received: 30 June 2020; Revised: 15 April 2021; Accepted: 3 June 2021; Published: 2022

First available in Project Euclid: 11 November 2022

zbMATH: 07629610

MathSciNet: MR4504449

Digital Object Identifier: 10.2140/gt.2022.26.1745

Subjects:

Primary: 20F36 , 55R80

Keywords: configuration spaces , graph braid groups , homological stability

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS