The Coefficients of the $C_p$-Equivariant Geometric Complex Cobordism

TL;DR

This paper calculates the cobordism ring of stably almost complex $C_p$-manifolds, providing explicit generators and relations, and compares them with geometrically-defined generators from Kosniowski.

Contribution

It offers a complete algebraic description of the cobordism ring for these manifolds and relates algebraic generators to geometric ones.

Findings

Explicit generators and relations for the cobordism ring are provided.

Comparison between algebraic and geometric generators is established.

The structure of the cobordism ring is fully characterized.

Abstract

We give a complete calculation of the cobordism ring of stably almost complex $C_p$-manifolds in terms of generators and relations. We also compare these generators with the geometrically-defined generators obtained by Kosniowski.