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Nekrasov's Partition Function and Refined Donaldson-Thomas Theory: the Rank One Case

Abstract:

This paper studies geometric engineering, in the simplest possible case of rank one (Abelian) gauge theory on the affine plane and the resolved conifold. We recall the identification between Nekrasov's partition function and a version of refined Donaldson Thomas theory, and study the relationship between the underlying vector spaces. Using a purity result, we identify the vector space underlying refined Donaldson-Thomas theory on the conifold geometry as the exterior space of the space of pol...

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Publication status:
Published

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Publisher copy:
10.3842/SIGMA.2012.088

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
Volume:
8
Publication date:
2012-01-01
DOI:
EISSN:
1815-0659
ISSN:
1815-0659
URN:
uuid:9c11d844-ca62-4638-b2ff-5613f501aa6a
Source identifiers:
356577
Local pid:
pubs:356577

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