Twisted Jacobian algebras as endomorphism algebras of equivariant matrix factorizations
Algebraic Geometry
2022-04-13 v3 Symplectic Geometry
Abstract
Given a polynomial with an isolated singularity, we can consider the Jacobian ring as an invariant of the singularity. If in addition we have a group action on the polynomial ring with fixed, we are led to consider the twisted Jacobian ring which reflects the equivariant structure as well. Our main result is to show that the twisted Jacobian ring is isomorphic to an endomorphism ring of the "twisted diagonal" matrix factorization. As an application, we suggest a way to investigate Floer theory of Lagrangian submanifolds which represent homological mirror functors.
Keywords
Cite
@article{arxiv.2111.06090,
title = {Twisted Jacobian algebras as endomorphism algebras of equivariant matrix factorizations},
author = {Sangwook Lee},
journal= {arXiv preprint arXiv:2111.06090},
year = {2022}
}
Comments
25 pages, 2 figures. Some parts concerning module structures of morphism spaces were added