Asymptotic homology of graph braid groups

An, Byung Hee¹ ; Drummond-Cole, Gabriel C² ; Knudsen, Ben³

¹ Department of Mathematics Education, Teachers College, Kyungpook National University, Daegu, South Korea
² Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang, South Korea
³ Mathematics Department, Northeastern University, Boston, MA, United States

Geometry & topology, Tome 26 (2022) no. 4, pp. 1745-1771.

Résumé

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

Détail

DOI : 10.2140/gt.2022.26.1745

Keywords: configuration spaces, graph braid groups, homological stability

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