Complex lagrangian submanifolds in holomorphic Symplectic varieties and differential graded algebras

Borislav Mladenov, Richard Thomas, Alessio Corti, Imperial College London
2022
We present applications of deformation quantisation techniques to holomorphic symplectic geometry. In particular, we calculate certain Ext groups between quantisable Lagrangian D-branes, which count the massless open strings connecting the D-branes, and show the corresponding RHom DG-algebras are formal. Auxiliary results on A-inf modules over graded algebras are presented as well.
doi:10.25560/98987 fatcat:r4t2nqp5hrgejmeyisospjutjq