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

CMSA EVENTS

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.

Zoom: https://harvard.zoom.us/j/94717938264