Cobordism of G-manifolds

Jack Carlisle

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arXiv · 2402.12478

Cobordism of G-manifolds

Jack Carlisle

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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 $C_2$-equivariant bordism ring $\Omega^{C_2}_*$, 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.

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Jack Carlisle. 2024-02-19. Cobordism of G-manifolds. https://arxiv.org/abs/2402.12478

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