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Bordered Floer homology with integral coefficients for manifolds with torus boundary

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arxiv 2104.15120 v3 pith:KQ3SF2SP submitted 2021-04-30 math.GT

classification math.GT
keywords floerborderedboundarycoefficientscombinatorialhomologymanifoldstorus
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abstract

We provide a combinatorial definition of a bordered Floer theory with $\mathbb Z$ coefficients for manifolds with torus boundary. Our bordered Floer structures recover the combinatorial Heegaard Floer homology defined by Ozsv\'ath, Stipsicz, and Szab\'o.

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  1. Monopole triangle over integers

    math.GT 2026-06 unverdicted novelty 8.0 of 10

    Proves the integer-coefficient surgery exact triangle in monopole Floer homology and derives a spectral sequence from odd Khovanov homology to the monopole Floer homology of the double branched cover, solving the Ozsv...

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