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Contact structures, Heegaard Floer homology, and fibred knots


Speaker: Paolo Ghiggini, University of Quebec, Montreal
Location: 1147 MSB
Start time: Mon, Jan 29 2007, 4:10PM

After defining the objects mentioned in the title, I will sketch a proof that knot Floer homology detects fibred knots, and discuss an application.

The proof is an example of how taut foliations and contact structures can be used to transform topological information about knots and 3-manifolds into algebraic information about Heegaard Floer homology, which can be turned into new topological information.