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Universität Augsburg
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Universität Augsburg
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Sara Tukachinsky
IAS
spricht am
Montag, 27. Januar 2020
um
10:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| The quantum product on the cohomology of a symplectic manifold X is a deformation of the cup product, or wedge product in the de Rham model. The deformation is given by adding contributions from pseudoholomorphic spheres. Adding a Lagrangian submanifold L, one might consider the relative cohomology H^*(X,L). In a joint work with Jake Solomon, we define a quantum product on H^*(X,L) that combines deformations of the wedge products of differential forms on X and L, with corrections coming from pseudoholomorphic spheres as well as disks with boundary conditions in L. The associativity of this product is equivalent to the open WDVV equations, a PDE in the generating functions of the closed and open Gromov-Witten invariants. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Kai Cieliebak |