The Seiberg-Witten equations and knots in 3-manifolds

The Seiberg-Witten equations and knots in 3-manifolds

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Cagatay Kutluhan, University at Buffalo
Fine Hall 314

Given a null-homologous knot inside a closed oriented 3-manifold, I will describe a filtered chain complex using the Seiberg-Witten equations, and discuss its relationship with homological invariants of knots defined by Ozsvath-Szabo and Kronheimer-Mrowka. This is work in preparation.