CMSA Geometry and Physics Seminar: A geometric construction of orbifold Jacobian algebras
CMSA EVENTS
When: July 20, 2020
9:30 am - 10:30 am
Where: Virtually
Speaker: Sangwook Lee - KIAS
We review the definition of a twisted Jacobian algebra of a Landau-Ginzburg orbifold due to Kaufmann et al. Then we construct an A-infinity algebra of a weakly unobstructed Lagrangian submanifold in a symplectic orbifold. We work on an elliptic orbifold sphere and see that above two algebras are isomorphic, and furthermore their structure constants are related by a modular identity which was used to prove the mirror symmetry of closed string pairings. This is a joint work with Cheol-Hyun Cho.