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arxiv: 2104.15120 · v3 · pith:KQ3SF2SPnew · submitted 2021-04-30 · 🧮 math.GT

Bordered Floer homology with integral coefficients for manifolds with torus boundary

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keywords floerborderedboundarycoefficientscombinatorialhomologymanifoldstorus
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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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