The symplectic Floer homology of composite knots

Weiping Li

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arXiv · math/9802030

The symplectic Floer homology of composite knots

Weiping Li

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Abstract

We develop a method of calculation for the symplectic Floer homology of composite knots. The symplectic Floer homology of knots defined in \cite{li} naturally admits an integer graded lifting, and it formulates a filtration and induced spectral sequence. Such a spectral sequence converges to the symplectic homology of knots in \cite{li}. We show that there is another spectral sequence which converges to the $\Z$-graded symplectic Floer homology for composite knots represented by braids.

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Weiping Li. 1998-02-05. The symplectic Floer homology of composite knots. https://arxiv.org/abs/math/9802030

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