Geometry and Topology Seminar

Plane Floer homology defines a functor from the category of
3-manifolds and cobordisms to the category of vector spaces over an
appropriate Novikov ring. This homology theory admits a surgery exact
triangle or more generally an iterated version of the surgery exact
triangle in the form of a surgery cube. As a corollary, for a classical
link we derive a spectral sequence whose second page is a suitable version
of odd Khovanov homology and it abuts to the plane Floer homology of the
double cover of S^3 branched along the link. Another important property of
plane Floer homology is that it can be easily computed. We exploit this
fact and define a family of knot concordance invariants.