Quantum K-Theory I: Foundations

Details Quantum K-Theory I: Foundations Quantum K-Theory I: Foundations

2001-05-02

arxiv.org/abs/math/0105014v3

Mathematics

Algebraic Geometry

Final version. To appear in Duke Math J

Scientific paper

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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