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Ring structures in singular instanton homology
Published 17 Jul 2023 in math.GT | (2307.08845v1)
Abstract: We calculate the ring structure of the singular instanton Floer homology of $(S1\times \Sigma, S1\times {p_1,\dots,p_n})$ with C-coefficients, where $\Sigma$ is a closed oriented surface. As an application, we prove an excision formula for singular instanton homology when n=1. This settles the last unknown case of excision formula for instanton Floer homology.
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