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Bordered HF- for three-manifolds with torus boundary
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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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Detecting Heegaard Floer homology solid tori
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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