Place: Room 614 in the Education & Sciences Building
\nTime: 14:00<\/p>\n
Abstract:<\/p>\n
Open Gromov-Witten (OGW) invariants should count pseudoholomorphic maps from Riemann surfaces with boundary to a symplectic manifold, with boundary conditions and various constraints on boundary and interior marked points. The presence of boundary leads to bubbling phenomena that pose a fundamental obstacle to invariance. In a joint work with J. Solomon, we developed a general approach to defining genus zero OGW invariants.
\nThe construction uses the heavy machinery of Fukaya A_\\infty algebras. Nonetheless, in a recent work, also joint with J. Solomon, we find that the generating function of OGW invariants has many properties that enable explicit calculations. Most notably, it satisfies a system of PDE called the open WDVV equations. For projective spaces, this system of PDE generates recursion relations that allow the computation of all invariants.
\nWe further reinterpret the open WDVV equations as the associativity relation for a relative quantum product.
\nNo prior knowledge of any of the above notions will be assumed.<\/p>\n
Tea will be served before the talk (at 13:50).<\/p>\n","protected":false},"excerpt":{"rendered":"
Place: Room 614 in the Education & Sciences Building Time: 14:00 Abstract: Open Gromov-Witten (OGW) invariants should count pseudoholomorphic maps from Riemann surfaces with boundary to a symplectic manifold, with boundary conditions and various constraints on boundary and interior marked…
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