Quantum K -theory, I: Foundations

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.

Locations

• Duke Mathematical Journal - View
• arXiv (Cornell University) - View - PDF