Northern California Symplectic Geometry Seminar: Mapping Tori and Stable Pairs

Seminar | March 5 | 4-5 p.m. | Stanford University, Room 383N

 Andrew Lee, UC Santa Cruz

 Department of Mathematics

In this talk we first recall a construction of a moduli space of objects over a Riemann surface, 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). Time permitting, we then outline a calculation of this invariant for a certain subset of these mapping tori. This is joint work with Tim Perutz.