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Derived categories of coherent sheaves on algebraic varieties. (English) Zbl 1208.14014
Holm, Thorsten (ed.) et al., Triangulated categories. Based on a workshop, Leeds, UK, August 2006. Cambridge: Cambridge University Press (ISBN 978-0-521-74431-7/pbk). London Mathematical Society Lecture Note Series 375, 408-451 (2010).
The second part, which is covered by Section 5, gives a complete and detailed account on Bridgeland’s stability conditions. In particular the author recalls the fundamental results, such as the topological structure of the stability manifold or the construction of stability conditions on $$K3$$ surfaces and their conjectural relation with the group of autoequivalences. He gives also an account on the string-theoretical point of view.