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arxiv: 1410.2161 · v2 · pith:NRDJHEE4new · submitted 2014-10-08 · 🧮 math.GT · math.SG

Combinatorial tangle Floer homology

classification 🧮 math.GT math.SG
keywords floerhomologycombinatorialbackborderedcaseconstructdiagram
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In this paper we extend the idea of bordered Floer homology to knots and links in $S^3$: Using a specific Heegaard diagram, we construct gluable combinatorial invariants of tangles in $S^3$, $D^3$ and $I\times S^2$. The special case of $S^3$ gives back a stabilized version of knot Floer homology.

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