Permutation-equivariant quantum K-theory VII. General theory

Abstract

We introduce K-theoretic GW-invariants of mixed nature: permutation-equivariant in some of the inputs and ordinary in the others, and prove the ancestor-descendant correspondence formula. In genus 0, combining this with adelic characterization, we derive that the range ${\mathcal{L}}_X$ of the big J-function in permutation-equivariant theory of a target space $X$ is overruled.

20 pages, 3 figures

References in corpus (2)

• The Hirzebruch--Riemann--Roch theorem in true genus-0 quantum K-theory
• Twisted orbifold Gromov-Witten invariants

Cited by in corpus (1)

• $K$-theoretic quasimap wall-crossing