Equivariant instanton Floer homology and calculations for the binary polyhedral spaces

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∈ 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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