Representing the big tilting sheaves as holomorphic Morse branes
Symplectic Geometry
2021-03-02 v5 Representation Theory
Abstract
We introduce Morse branes in the Fukaya category of a holomorphic symplectic manifold, with the goal of constructing tilting objects in the category. We give a construction of a class of Morse branes in the cotangent bundles, and apply it to give the holomorphic branes that represent the big tilting sheaves on flag varieties.
Keywords
Cite
@article{arxiv.1602.07382,
title = {Representing the big tilting sheaves as holomorphic Morse branes},
author = {Xin Jin},
journal= {arXiv preprint arXiv:1602.07382},
year = {2021}
}
Comments
Final version; corrected some mistakes in the published version