Window shifts, flop equivalences and Grassmannian twists
File(s)1206.0219v2.pdf (387.88 KB)
Accepted version
Author(s)
Donovan, W
Segal, E
Type
Journal Article
Abstract
We introduce a new class of autoequivalences that act on the derived categories of certain vector bundles over Grassmannians. These autoequivalences arise from Grassmannian flops: they generalize Seidel-Thomas spherical twists, which can be seen as arising from standard flops. We first give a simple algebraic construction, which is well-suited to explicit computations. We then give a geometric construction using spherical functors which we prove is equivalent.
Date Issued
2014-06-30
ISSN
0010-437X
Start Page
942
End Page
978
Journal / Book Title
Compositio Mathematica
Volume
150
Issue
6
Copyright Statement
© The Author(s) 2014
Description
16.04.15 KB. OK to add accepted version to spiral
Identifier
http://dx.doi.org/10.1112/S0010437X13007641
http://arxiv.org/abs/1206.0219v2
Notes
Improved structure and formatting. Minor edits to some explanations. Added acknowledgements and addresses. 38 pages, 7 figures
Publisher URL