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Quantum K-Theory of Calabi-Yau Manifolds

The disk partition function of certain 3d N=2 supersymmetric gauge theories computes a quantum K-theoretic ring for Kahler manifolds X. We study the 3d gauge theory/quantum K-theory correspondence for global and local Calabi-Yau manifolds with several Kahler moduli. We propose a multi-cover formula that relates the 3d BPS world-volume degeneracies computed by quantum K-theory to Gopakumar-Vafa invariants.

preprint2019arXivOpen access
Hans JockersPeter Mayr
math.AGhep-th
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Hans JockersPeter Mayr

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