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Topology Seminar: Hiraku Nakajima, “Refined Chern-Simons Theory and Hilbert Schemes of Points on the Plane”

Hiraku Nakajima, RIMS Kyoto University

Title: Refined Chern-Simons Theory and Hilbert Schemes of Points on the Plane
Program: Symplectic and Contact Geometry and Connections to Low-Dimensional Topology
Speaker: Hiraku Nakajima, RIMS Kyoto University
Date: Thursday, October 25, 2012
Time: 11:30am – 12:30pm
Place: Seminar Room 313, Simons Center

 

 

Abstract: Aganagic-Shakirov recently propose a refined Chern-Simons theory which gives a one-parameter deformation of quantum invariants of 3-manifolds. A key ingredient is a deformation of the S-matrix acting on the quantum Hilbert space of 2-torus, which is a modification of an earlier proposal by Gukov, Iqbal, Kozcaz and Vafa. I will give an interpretation of the deformed S-matrix in terms of Hilbert schemes of points on the plane.

 

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