Author:
Addington Nicolas,Donovan Will,Meachan Ciaran
Abstract
Abstract
Associated to a Mukai flop
{X\dashrightarrow X^{\prime}}
is on the one hand a sequence of equivalences
{D^{b}(X)\to D^{b}(X^{\prime})}
, due to Kawamata and Namikawa, and on the other hand a sequence of autoequivalences of
{D^{b}(X)}
, due to Huybrechts and Thomas. We work out a complete picture of the relationship between the two. We do the same for standard flops, relating Bondal and Orlov’s derived equivalences to spherical twists, extending a well-known story for the Atiyah flop to higher dimensions.
Funder
National Science Foundation
Engineering and Physical Sciences Research Council
Subject
Applied Mathematics,General Mathematics
Cited by
7 articles.
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