Cobordisms of sutured manifolds
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Tue, 30/11/2010 15:45 |
Andras Juhasz (Cambridge) |
Algebraic and Symplectic Geometry Seminar  |
L3 |
| Sutured manifolds are compact oriented 3-manifolds with boundary, together with a set of dividing curves on the boundary. Sutured Floer homology is an invariant of balanced sutured manifolds that is a common generalization of the hat version of Heegaard Floer homology and knot Floer homology. I will define cobordisms between sutured manifolds, and show that they induce maps on sutured Floer homology groups, providing a type of TQFT. As a consequence, one gets maps on knot Floer homology groups induced by decorated knot cobordisms. | |||