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arXiv · 1602.07382

Representing the big tilting sheaves as holomorphic Morse branes

Xin Jin
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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.

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Xin Jin. 2016-02-24. Representing the big tilting sheaves as holomorphic Morse branes. https://doi.org/10.1016/j.aim.2019.01.035

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