Tuesday April 22nd, 2025 | |
| Time: | 9:00 AM |
| Title: | The Fukaya Algebra over The Integers |
| Speaker: | Mohamad Rabah, Stony Brook University |
| Abstract: | |
| Given a closed, connected, relatively-spin Lagrangian submanifold in a closed symplectic\r\nmanifold, we associate to it a curved, gapped, filtered An,K-algebra over the Novikov ring\r\nwith integer coefficients. Under certain conditions, such algebra can be extended to an Ainfinity\r\nalgebra. To illustrate our framework, we give a proof of the Quantum Lefschetz\r\nHyperplane Theorem in the Kaehler case, and associate virtual fundamental classes to the\r\nmoduli spaces used in local Gromov-Witten theory, in the symplectic case. | |