Title: Holonomy filtration and knots

Abstract: Motivated by the construction of the isomorphism between 
Heegaard Floer and Seiberg--Witten Floer homologies (joint with Yi-Jen Lee 
and Clifford H. Taubes), I will describe a doubly filtered Floer homology 
for null-homologous knots in closed oriented 3-manifolds in the context of 
Seiberg-Witten theory. I will also explain how the aforementioned 
construction leads to an isomorphism between the latter and 
Ozsvath-Szabo's knot Floer homology.