2024/11/22 by Rabah, Mohamad
#FOS: Mathematics #Symplectic Geometry (math.SG)
paper · doi:10.48550/arxiv.2411.14657
Given a closed, connected, relatively-spin Lagrangian submanifold in a closed symplectic manifold, we associate to it a curved, gapped, filtered, An, K-algebra over the Novikov ring with integer coefficients. Under certain conditions, such an algebra can be extended to an A_∞-algebra. To illustrate our framework, we give a proof of the Quantum Lefschetz Hyperplane Theorem in the K ahler case, and associate virtual fundamental classes to the moduli spaces used in local Gromov-Witten theory, in the symplectic case.