The symplectic Floer homology of composite knots
Geometric Topology
2007-05-23 v1
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 -graded symplectic Floer homology for composite knots represented by braids.
Cite
@article{arxiv.math/9802030,
title = {The symplectic Floer homology of composite knots},
author = {Weiping Li},
journal= {arXiv preprint arXiv:math/9802030},
year = {2007}
}
Comments
28pages, AmsLatex, also available at: http://www.math.okstate.edu/~wli/research/publication.html#recent