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Nilpotency in instanton homology, and the framed instanton homology of a surface times a circle

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 Added by Christopher Scaduto
 Publication date 2016
  fields
and research's language is English




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In the description of the instanton Floer homology of a surface times a circle due to Mu~{n}oz, we compute the nilpotency degree of the endomorphism $u^2-64$. We then compute the framed instanton homology of a surface times a circle with non-trivial bundle, which is closely related to the kernel of $u^2-64$. We discuss these results in the context of the moduli space of stable rank two holomorphic bundles with fixed odd determinant over a Riemann surface.



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