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Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and mirror symmetry. (English) Zbl 1326.14042
Castano-Bernard, Ricardo (ed.) et al., Homological mirror symmetry and tropical geometry. Based on the workshop on mirror symmetry and tropical geometry, Cetraro, Italy, July 2–8, 2011. Cham: Springer (ISBN 978-3-319-06513-7/pbk; 978-3-319-06514-4/ebook). Lecture Notes of the Unione Matematica Italiana 15, 197-308 (2014).
Summary: The paper is devoted to the notion of wall-crossing structure and its constructions and applications in various situations. It is motivated by our previous work on Mirror Symmetry and Donaldson-Thomas invariants where examples of wall-crossing structures appeared for the first time.
For the entire collection see [Zbl 1300.14001].

MSC:
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14J33 Mirror symmetry (algebro-geometric aspects)
14N35 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
53D17 Poisson manifolds; Poisson groupoids and algebroids
53D37 Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category
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