Quasi-isomorphism of grid chain complexes for a connected sum of knots
Abstract
We give a purely combinatorial proof of a K\"unneth formula for the minus version of knot Floer homology of connected sums by constructing a quasi-isomorphism of grid chain complexes. The quasi-isomorphism naturally deduces that the Legendrian and transverse invariants behave functorially with respect to the connected sum operation.
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