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Title:
Mapping tori and stable pairs
Speaker:
Abstract:
In this talk we first recall a construction over a Riemann surface of a certain moduli space of vortices, also called stable pairs, which carries a symplectic structure. Symplectic geometry in this space allows us to produce a Floer-theoretic invariant of a particular class of 3-manifolds called mapping tori (surface bundles over the circle). This invariant can in fact be calculated for a certain subset of these mapping tori. Time permitting, we also describe a related construction of a more general invariant using the same spaces.
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