Open WDVV equations and Virasoro constraints

Alexandr Buryak (University of Leeds)

Tuesday 13th November, 2018 16:00-17:00 Maths 311B


It is well known that to a solution of the WDVV equations one can associate a certain function of the infinite number of variables, called the descendent potential. This potential satisfies a system of equations, called the Virasoro constraints, that are described using an infinite sequence of linear differential operators, forming a half of the Virasoro algebra. More recently, a remarkable system of PDEs, extending the WDVV equations, appeared in the context of open Gromov-Witten theory. These new PDEs are called the open WDVV equations. In our joint work with A. Basalaev we construct a descendent potential associated to a solution of the open WDVV equations and

prove an open analog of the Virasoro constraints.


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