BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pavel Mnev (Notre Dame) DTSTART:20201204T183000Z DTEND:20201204T200000Z DTSTAMP:20260423T005811Z UID:GMU_TADS/2 DESCRIPTION:Title: Chern-Simons theory on cylinders and generalized Hamilton-Jacobi actions< /a>\nby Pavel Mnev (Notre Dame) as part of Topology\, Algebraic Geometry\, and Dynamics Seminar GMU\n\n\nAbstract\nWe study the perturbative path in tegral of Chern-Simons theory on a cylinder [0\,1]x Sigma with a holomorph ic polarization on the boundaries\, in the context of Batalin-Vilkovisky q uantization (or rather its variant compatible with cutting-gluing\, the “BV-BFV quantization”). We find that\, in the case of non-abelian 3D C hern-Simons\, the fiber BV integral for the system produces the gauged WZW model on Sigma. Classically\, the result corresponds to computing a “ge neralized Hamilton-Jacobi action” for Chern-Simons theory on a cylinder — a generating function (in an appropriate sense) for the evolution rela tion induced on the boundary conditions by the equations of motion. A simi lar setup applied to 7D abelian Chern-Simons on a cylinder [0\,1] x Sigma\ , with Sigma a Calabi-Yau of (real) dimension 6\, with a linear polarizati on on one side and a nonlinear (Hitchin) polarization on the other side\, is related to the Kodaira-Spencer (a.k.a. BCOV) theory.\nIn the talk\, I w ill introduce the concept of generalized Hamilton-Jacobi functions in the example of classical mechanics with constraints described by an equivarian t moment map and proceed to discuss the examples above. This is a report o n a joint work with Alberto S. Cattaneo and Konstantin Wernli.\n LOCATION:https://researchseminars.org/talk/GMU_TADS/2/ END:VEVENT END:VCALENDAR