Vol. 316, No. 1, 2022
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Orders of the canonical vector bundles over configuration spaces of finite graphs

Frederick R. Cohen and Ruizhi Huang
Vol. 316 (2022), No. 1, 53–64
DOI: 10.2140/pjm.2022.316.53
Abstract

We prove that the order of the canonical vector bundle over the configuration space is 2 for a general planar graph, and is 4 for a nonplanar graph.

To the memory of Professor Wen-Tsün Wu

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Keywords
configuration space, vector bundle, finite graph
Mathematical Subject Classification
Primary: 55R10, 55R80
Secondary: 05C10, 55P15, 55P40
Milestones
Received: 31 January 2021
Revised: 17 July 2021
Accepted: 17 September 2021
Published: 26 February 2022
Authors
Frederick R. Cohen
Department of Mathematics
University of Rochester
Rochester, NY
United States
Ruizhi Huang
Academy of Mathematics and Systems Science
Chinese Academy of Sciences
Beijing
China