Equivariant instanton Floer homology and calculations for the binary polyhedral spaces

Gard Olav Helle

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arXiv · 2203.09471

Equivariant instanton Floer homology and calculations for the binary polyhedral spaces

Gard Olav Helle

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Abstract

We calculate the equivariant instanton Floer homology, in the sense of Miller Eismeier, for the trivial $SO(3)$-bundle over the binary polyhedral spaces with coefficients in a PID $R$ for which $2\in R$ is invertible. Along the way we modify a part of the algebraic construction needed to define the equivariant instanton Floer groups.

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Gard Olav Helle. 2022-03-17. Equivariant instanton Floer homology and calculations for the binary polyhedral spaces. https://arxiv.org/abs/2203.09471

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