7–9 Nov 2018
DESY Hamburg
Europe/Berlin timezone

Skein module valued open Gromov-Witten invariants and large N duality

8 Nov 2018, 14:00
1h
Auditorium CSSB, bldg. 15 (DESY Hamburg)

Auditorium CSSB, bldg. 15

DESY Hamburg

Notkestr. 85, 22607 Hamburg

Speaker

Tobias Eckholm

Description

From the perspective of topological string, holomorphic curves in a Calabi-Yau 3-fold ending on a Lagrangian deforms the Chern-Simons theory on the Lagrangian. Mathematically this can be interpreted as open Gromov-Witten invariants with values in the skein module of the Lagrangian. We discuss this definition and show how it combined with a specific deformation of the complex structure known as stretching gives a rather direct proof of large N duality for knots in the three sphere.

Presentation materials