instantons, topological strings, and enumerative geometry

Clicks: 43
ID: 192248
2010
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Abstract
We review and elaborate on certain aspects of the connections between instanton counting in maximally supersymmetric gauge theories and the computation of enumerative invariants of smooth varieties. We study in detail three instances of gauge theories in six, four, and two dimensions which naturally arise in the context of topological string theory on certain noncompact threefolds. We describe how the instanton counting in these gauge theories is related to the computation of the entropy of supersymmetric black holes and how these results are related to wall-crossing properties of enumerative invariants such as Donaldson-Thomas and Gromov-Witten invariants. Some features of moduli spaces of torsion-free sheaves and the computation of their Euler characteristics are also elucidated.
Reference Key
szabo2010advancesinstantons, Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Richard J. Szabo
Journal theater
Year 2010
DOI
10.1155/2010/107857
URL
http://dx.doi.org/10.1155/2010/107857
Keywords
physics

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