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Toward Chern-Simons theory of complexes on Calabi-Yau threefolds - MaRDI portal

Toward Chern-Simons theory of complexes on Calabi-Yau threefolds (Q2928494)

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scientific article; zbMATH DE number 6366843
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English
Toward Chern-Simons theory of complexes on Calabi-Yau threefolds
scientific article; zbMATH DE number 6366843

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    7 November 2014
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    Chern-Simons
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    Calabi-Yau
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    Donaldson-Thomas invariant
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    CS charts
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    Toward Chern-Simons theory of complexes on Calabi-Yau threefolds (English)
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    The author investigates some of the recent progress in the study the of gauge theory on Calabi-Yau threefolds. First, the author reviews the Chern-Simons functional of complexes of Behrend-Getzler. Explicit constructions of CS-charts for the complexes that are resolutions of sheaves are presented. The construction shows the extendability to cover a large class of gluable complexes. This article will provide a useful reference for further development of this subject.NEWLINENEWLINEFor the entire collection see [Zbl 1291.00056].
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