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International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics"
December 18, 2013 11:30–12:20, Moscow, Steklov Mathematical Institute of the RAS
 


The Index of M-theory – I

N. A. Nekrasov
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N. A. Nekrasov


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Abstract: Motivated by M-theory physics we will discuss a conjectural curve-counting theory in Calabi–Yau 5-folds and its relation to K-theoretic Donaldson–Thomas invariants of smooth 3-folds. Specifically, if a Calabi–Yau 5-fold Z admits an automorphism $q$ with 3-dimensinal fixed locus $X$, then the trace of $q$ on K-theoretic curve counts in $Z$ is written in terms of DT invariants of $X$ with boxcounting parameter $q$.

Language: English

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