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Bibliographic Details
Main Authors: Kronheimer, Peter B., Mrowka, Tomasz S.
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2210.07059
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Table of Contents:
  • We calculate the singular instanton homology with local coefficients for the simplest n-strand braids in $S^1 \times S^2$ for all odd n, describing these homology groups and their module structures in terms of the coordinate rings of explicit algebraic curves. The calculation is expected to be equivalent to computing the quantum cohomology ring of a certain Fano variety, namely a moduli space of stable parabolic bundles on a sphere with n marked points.