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math.GT2023
Floer homology beyond borders
Robert Lipshitz, Peter Ozsváth, Dylan Thurston
Bordered Floer homology is an invariant for 3-manifolds with boundary, defined by the authors in 2008. It extends the Heegaard Floer homology of closed 3-manifolds, defined in earl…
math.GT2023
Bordered HF- for three-manifolds with torus boundary
Robert Lipshitz, Peter Ozsváth, Dylan Thurston
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.…