Quantum K-Theory I: Foundations
Algebraic Geometry
2022-01-12 v4 K-Theory and Homology
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.
Cite
@article{arxiv.math/0105014,
title = {Quantum K-Theory I: Foundations},
author = {Y. -P. Lee},
journal= {arXiv preprint arXiv:math/0105014},
year = {2022}
}
Comments
Serious typographical errors corrected in Sections 4.4 and 4.5