Fixed points and semifree bordism

TL;DR

This paper uses fixed-point methods to compute the coefficient ring of semifree geometric circle-equivariant complex cobordism with isolated fixed points, revisiting a 2004 result with classical techniques.

Contribution

It introduces fixed-point techniques to compute equivariant cobordism rings, providing a new proof of a known result using classical methods.

Findings

Computed the coefficient ring of semifree geometric circle-equivariant complex cobordism.

Reproduced Sinha's 2004 result using 19th-century methods.

Demonstrated the effectiveness of fixed-point techniques in equivariant cobordism.

Abstract

We apply fixed-point techniques to compute the coefficient ring of semifree geometric circle-equivariant complex cobordism with isolated fixed points, recovering a 2004 result of Sinha through 19th-century methods.