The symplectic Floer homology of composite knots
Abstract
We develop a method of calculation for the symplectic Floer homology of composite knots. The symplectic Floer homology of knots defined in 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 li. We show that there is another spectral sequence which converges to the -graded symplectic Floer homology for composite knots represented by braids.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.