Quantum K-Theory I: Foundations

Yuan-Pin Lee Department of Mathematics, University of Utah, Salt Lake City, Utah, 84112

Algebraic Geometry mathscidoc:2204.45026

This work is devoted to the study of the foundations of quantum K-theory, a K-theoretic version of quantum cohomology theory. In particular, it gives a deformation of the ordinary K-ring K(X) of a smooth projective variety X, analogous to the relation between quantum cohomology and ordinary cohomology. This new quantum product also gives a new class of Frobenius manifolds.
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  title={Quantum K-Theory I: Foundations},
  author={Yuan-Pin Lee},
Yuan-Pin Lee. Quantum K-Theory I: Foundations. 2022. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415115334827482044.
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