CMSA Geometry and Physics Seminar: A geometric construction of orbifold Jacobian algebras


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July 20, 2020 9:30 pm - 10:30 pm
via Zoom Video Conferencing

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.