Lectures on K-theoretic computations in enumerative geometry

@article{Okounkov2015LecturesOK,
  title={Lectures on K-theoretic computations in enumerative geometry},
  author={Andrei Okounkov},
  journal={arXiv: Algebraic Geometry},
  year={2015}
}
  • A. Okounkov
  • Published 23 December 2015
  • Mathematics
  • arXiv: Algebraic Geometry
These are notes from my lectures on quantum K-theory of Nakajima quiver varieties and K-theoretic Donaldson-Thomas theory of threefolds given at Columbia and Park City Mathematics Institute. They contain an introduction to the subject and a number of new results. In particular, we prove the main conjecture of arXiv:hep-th/0412021 and the conjecture of arXiv:1404.2323 in the simplest case of reduced smooth curves. We also prove the the absence of quantum corrections to the capped vertex with… 
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