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Filtration of Heegaard Floer homology and gluing formulas

Eaman Eftekhary

math.GTarXiv:math/0410356

Abstract

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

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