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Title:
Refined Chern-Simons Theory and Hilbert Schemes of Points on the Plane

Speaker:
Hiraku Nakajima

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.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=178

Workshop:
Simons- Program: Low Dimensional Topology (Fall 2012)