Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Seminar Topics in Symplectic Geometry


Sara Tukachinsky

spricht am
Montag, 27. Januar 2020
10:00 Uhr
Raum 2004 (L1)
über das Thema:

»Quantum product on relative cohomology«

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

[Impressum]      [Datenschutz],     Fr 10-Jan-2020 16:38:06 MEZ