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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2011.03719 |
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Table of Contents:
- Coherent-Constructible Correspondence for toric variety assigns to each $n$-dimensional toric variety $X_Σ$ a Lagrangian skeleton $Λ_Σ\subset T^*T^n$, such that the derived category of coherent sheaves $Coh(X_Σ)$ is equivalent to the (wrapped) constructible sheaves $Sh^w(T^n, Λ_Σ)$. In this paper, we extend this correspondence, so that flip and flop between toric varieties corresponds to variation of Lagrangian skeletons. The main idea is to translate window subcategory in variation of GIT to a window skeleton.