T-structures on some local Calabi-Yau varieties

Journal article

Let Z be a smooth Fano variety satisfying the condition that the rank of the Grothendieck group of Z is one more than the dimension of Z. Let ωZ denote the total space of the canonical line bundle of Z, considered as a non-compact Calabi-Yau variety. We use the theory of exceptional collections to describe t-structures on the derived category of coherent sheaves on ωZ. The combinatorics of these t-structures is determined by a natural action of an affine braid group, closely related to the well-known action of the Artin braid group on the set of exceptional collections on Z. © 2005 Elsevier Inc. All rights reserved.

Authors: Bridgeland, T

• Journal: Journal of Algebra
• Volume: 289
• Issue: 2
• Pages: 453-483
• Publication date: 2005-07-15
• DOI: 10.1016/j.jalgebra.2005.03.016
• ISSN: 0021-8693
• Language: English