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Asymptotic homology of graph braid groups

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

Geometry & Topology 26 (2022) 1745–1771
Abstract

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

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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