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Title:
Categorical Gromov-Witten invariants: a computable definition

Speaker:
Andrei Caldararu

Abstract:
In his 2005 paper "The Gromov-Witten potential associated to a TCFT" Kevin Costello described a procedure for recovering an analogue of the Gromov-Witten potential directly out of a Calabi-Yau category. The main difficulty to be overcome in that paper was dealing with the fact that TCFT's constructed form Calabi-Yau categories are always required to have at least one input. This problem was originally solved in a non-constructive fashion using dg-Weyl algebras and associated Fock spaces.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=4118

Workshop:
Simons- Workshop: String field theory, BV quantization, and moduli spaces