Infinity Inner Products and Open Gromov-Witten Invariants

Join Sebastian Haney from Columbia University for a lecture on "Infinity inner products and open Gromov-Witten invariants" presented at the M-Seminar at Kansas State University. Explore the open Gromov-Witten (OGW) potential, a function defined on the Maurer-Cartan space of closed Lagrangian submanifolds in symplectic manifolds with values in the Novikov ring. Learn how these potentials allow for the extraction of open Gromov-Witten invariants that count pseudoholomorphic disks with boundary on the Lagrangian. Discover a new construction of the OGW potential that extends beyond standard definitions, enabling invariants valued in any field of characteristic zero rather than just real or complex numbers. Understand the crucial algebraic foundation of this construction: a homotopy cyclic inner product on the curved Fukaya A-infinity algebra, which generalizes cyclically symmetric inner products and is determined by a strong proper Calabi-Yau structure on the Fukaya category.