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Combinatorial tangle Floer homology (1410.2161v2)

Published 8 Oct 2014 in math.GT and math.SG

Abstract: 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.