$\mathbb P$-objects and autoequivalences of derived categories

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dc.creatorHuybrechts, D.
dc.creatorThomas, R. P.
dc.date2005-07-04
dc.date2006-02-05
dc.date.accessioned2026-07-07T06:42:34Z
dc.date.available2026-07-07T06:42:34Z
dc.descriptionWe 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.
dc.description13 pages. Published version, minor corrections
dc.identifierhttps://arxiv.org/abs/math/0507040
dc.identifierhttp://arxiv.org/abs/math/0507040
dc.identifierMathematical Research Letters 13, 87--98, 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102088
dc.subjectAlgebraic Geometry
dc.subject14J32; 18E30
dc.title$\mathbb P$-objects and autoequivalences of derived categories
dc.typetext

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