Instantons, Topological Strings, and Enumerative Geometry
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-70, 70 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-23
Country of Publication
Egypt
No. of Pages
70
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Szabo, Richard J.. 2010. Instantons, Topological Strings, and Enumerative Geometry. Advances in Mathematical Physics،Vol. 2010, no. 2010, pp.1-70.
https://search.emarefa.net/detail/BIM-447001
Modern Language Association (MLA)
Szabo, Richard J.. Instantons, Topological Strings, and Enumerative Geometry. Advances in Mathematical Physics No. 2010 (2010), pp.1-70.
https://search.emarefa.net/detail/BIM-447001
American Medical Association (AMA)
Szabo, Richard J.. Instantons, Topological Strings, and Enumerative Geometry. Advances in Mathematical Physics. 2010. Vol. 2010, no. 2010, pp.1-70.
https://search.emarefa.net/detail/BIM-447001
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447001