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Resurgence in Chern-Simons theory

Pavel Putrov (Institute for Advanced Study)
Mandag, 22 maj, 2017, at 14:30-15:30, in Aud. D3 (1531-215)
In my talk I will consider resurgence properties of Chern-Simons theory on compact 3-manifolds. The resurgence theory provides a natural analytical continuation of Witten-Reshetikhin-Turaev (WRT) invariant (Chern-Simons partition function) to complex valued levels. Such analytic continuation plays an important role in the problem of categorification of Chern-Simons theory. For a certain class of 3-manifolds the analytically continued WRT invariant can be expressed via mock modular forms. The talk is mainly based on a joint work with S. Gukov and M. Marino.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen