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$mathbb P$-objects and autoequivalences of derived categories | | D. Huybrechts
; R. P. Thomas
; | | Date: |
4 Jul 2005 | | Subject: | Algebraic Geometry MSC-class: 14J32; 18E30 | math.AG | | Abstract: | We describe new autoequivalences of derived categories of coherent sheaves arising from what we call $mathbb P^n$-objects of the category. Standard examples arise from holomorphic symplectic manifolds. Under mirror symmetry these autoequivalences should be mirror to Seidel’s Dehn twists about lagrangian $mathbb P^n$ submanifolds. We give various connections to spherical objects and spherical twists, and include a simple description of Atiyah and Kodaira-Spencer classes in an appendix. | | Source: | arXiv, math.AG/0507040 | | Services: | Forum | Review | PDF | Favorites | |
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