数学科学研究所
Insitute of Mathematical Science

Computing a categorical Gromov-Witten invariant

Time11:00-12:00, Sep 28, Friday

LocationRoom 302, Library


Speaker: Junwu Tu


Abstract: We compute the g = 1, n = 1 B-model Gromov-Witten invariant of an elliptic curve E directly from the derived category of coherent sheaves on E. More precisely, we carry out the computation of the categorical Gromov-Witten invariant defined by Costello using as target a cyclic A-infinity model due to Polishchuk. This is the first non-trivial computation of a positive genus categorical GromovWitten invariant, and the result agrees with the prediction of mirror symmetry: it matches the classical (non-categorical) Gromov-Witten invariants of a symplectic 2-torus computed by Dijkgraaf. This is a joint work with Andrei Caldararu.


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