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The 2-leg vertex in K-theoretic DT theory

Mathematical Physics 2019-05-07 v1 High Energy Physics - Theory Algebraic Geometry math.MP Representation Theory

Abstract

K-theoretic Donaldson-Thomas counts of curves in toric and many related threefolds can be computed in terms of a certain canonical 3-valent tensor, the K-theoretic equivariant vertex. In this paper we derive a formula for the vertex in the case when two out of three entries are nontrivial. We also discuss some applications of this result.

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Cite

@article{arxiv.1905.01523,
  title  = {The 2-leg vertex in K-theoretic DT theory},
  author = {Ya. Kononov and A. Okounkov and A. Osinenko},
  journal= {arXiv preprint arXiv:1905.01523},
  year   = {2019}
}

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27 pages