

A. Bondal Seminar
February 17, 2005, Moscow, Steklov Mathematical Institute, Room 540 (8 Gubkina)





Joint meeting with the seminar "Geometry of Algebraic Varieties"


Tstructures on some local Calabi–Yau varieties (after T. Bridgeland)
A. G. Kuznetsov^{} 
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Abstract:
Let $Z$ be a Fano variety satisfying the condition that the rank of the Grothendieck group of $Z$ is one more than the dimension of $Z$. Let $\omega_Z$ denote the total space of the canonical line bundle of $Z$, considered as a noncompact Calabi–Yau variety. We use the theory of exceptional collections to describe tstructures on the derived category of coherent sheaves on $\omega_Z$. The combinatorics of these tstructures is determined by a natural action of an affine braid group, closely related to the wellknown action of the Artin braid group on the set of exceptional collections on $Z$.

