Filtration of Heegaard Floer homology and gluing formulas

Details Filtration of Heegaard Floer homology and gluing formulas Filtration of Heegaard Floer homology and gluing formulas

2004-10-15

arxiv.org/abs/math/0410356v2

Mathematics

Geometric Topology

Scientific paper

We introduce an extra filtration of $\CFK(Y,K)$ and use it in order to obtain
formulas for Floer homology of $(Y,K)$, which is obtained from $(Y_i,K_i),
i=1,2$ by gluing the knot complements on the framed torus boundaries.

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