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Bordered HF- for three-manifolds with torus boundary

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arxiv 2305.07754 v2 pith:RVDKJ6CD submitted 2023-05-12 math.GT math.SG

classification math.GTmath.SG
keywords torusborderedboundarya-infinityalgebraassociatedconstructeddefine
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We define an invariant for bordered 3-manifolds with torus boundary, taking the form of a module over a weighted A-infinity algebra associated to a torus defined in previous work. On setting U=0, we obtain the bordered three-manifold invariants with torus boundary constructed earlier.

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Cited by 1 Pith paper

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  1. Detecting Heegaard Floer homology solid tori

    math.GT 2025-05 accept novelty 7.0 of 10

    A rational homology solid torus is a Heegaard Floer homology solid torus if and only if the Dehn filling along its rational longitude contains a non-separating 2-sphere.

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