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
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

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