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math.GT2000
A monopole homology of integral homology 3-spheres
Weiping Li
To an integral homology 3-sphere , we assign a well-defined -graded (monopole) homology $MH_*(Y, I_{\e}(\T; \e_0))$ whose construction in principle follows from the instanto…
math.GT1999
The symplectic Floer homology of the figure eight knot
Weiping Li
In this paper, we compute the symplectic Floer homology of the figure eight knot. This provides first nontrivial knot with trivial symplectic Floer homology.
math.GT1998
The symplectic Floer homology of composite knots
Weiping Li
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 gra…