Homology, Homotopy and Applications

Volume 25 (2023)

Number 1

Stable equivariant complex cobordism of the symmetric group on three elements

Pages: 87 – 103

DOI: https://dx.doi.org/10.4310/HHA.2023.v25.n1.a5

Authors

Po Hu (Department of Mathematics, Wayne State University, Detroit, Michigan, U.S.A.)

Igor Kriz (Department of Mathematics, University of Michigan, Ann Arbor, Mich., U.S.A.)

Yunze Lu (Department of Mathematics, University of Michigan, Ann Arbor, Mich., U.S.A.)

Abstract

In this paper, we calculate the coefficient ring of equivariant Thom complex cobordism for the symmetric group on three elements. We also make some remarks on general methods of calculating certain pullbacks of rings which typically occur in calculations of equivariant cobordism.

Keywords

equivariant cobordism, equivariant cohomology, symmetric group

2010 Mathematics Subject Classification

55N91, 57R85

Full Text (PDF format)

Copyright © 2023, Po Hu, Igor Kriz and Yunze Lu. Permission to copy for private use granted.

Kriz acknowledges the support of a Simons Collaboration Grant.

Received 14 December 2021

Received revised 17 January 2022

Accepted 20 January 2022

Published 1 March 2023