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Wall-crossing Formulas and Resurgence

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No logo availableInstitut des Hautes Études Scientifiques (IHÉS)
 Soibelman, Yan

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Wall-crossing Formulas and Resurgence
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20
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CC Attribution 3.0 Unported:
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In the joint paper with M. KONTSEVICH (arXiv:0811.2435) among other things we introduced the notion of stability data on graded Lie algebras, upgraded later to the notion of wall-crossing structure in arXiv:1303.3253. Both notions turned out to be suitable for spelling out wall-crossing formulas in various circumstances, in particular in Donaldson-Thomas theory of 3-dimensional Calabi-Yau categories as well as supersymmetric gauge theories in dimensions two and four. Few years ago, we wrote a paper (yet unpublished) devoted to applications of thatto algebraic, analytic and resurgent properties of series arising in wall-crossing formulas. Aim of the talk is to discuss some of these ideas.
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