Cobordism of G-manifolds
Algebraic Topology
2024-02-21 v1
Abstract
We survey some results in the field of equivariant cobordism. In particular, we use methods from equivariant stable homotopy theory to calculate the unoriented -equivariant bordism ring , which was originally calculated by Alexander using other methods. Our proof method generalizes well to other settings, such as equivariant complex cobordism, and affords a formal group theoretic interpretation of Alexander's calculation.
Cite
@article{arxiv.2402.12478,
title = {Cobordism of G-manifolds},
author = {Jack Carlisle},
journal= {arXiv preprint arXiv:2402.12478},
year = {2024}
}
Comments
To be published in "Group Actions and Equivariant Cohomology", Contemporary Mathematics, AMS