|Homological Mirror Symmetry (minicourse)|
|Topic:||Numerical invariants from bounding chains|
|Affiliation:||Hebrew University of Jerusalem; Visitor, School of Mathematics|
|Date:||Wednesday, December 14|
|Time/Room:||10:45am - 12:00pm/S-101|
I'll begin with a leisurely introduction to Fukaya A-infinity algebras and their bounding chains. Then I'll explain how to use bounding chains to define open Gromov-Witten invariants. The bounding chain invariants can be computed using an open analog of the WDVV equations. This leads to an explicit understanding of the homotopy type of certain Fukaya A-infinity algebras. Also, the bounding chain invariants generalize Welschinger's real enumerative invariants. A nice example is real projective space considered as a Lagrangian submanifold of complex projective space. This is joint work with Sara Tukachinsky.