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Quantum K-Theory I: Foundations

Y. -P. Lee
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Abstract

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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Y. -P. Lee. 2001-05-02. Quantum K-Theory I: Foundations. https://arxiv.org/abs/math/0105014

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