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Permutation-equivariant quantum K-theory VII. General theory

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arxiv 1510.03076 v1 pith:KTDMULWC submitted 2015-10-11 math.AG

Alexander Givental This is my paper · ORCID
classification math.AG
keywords permutation-equivarianttheoryadelicancestor-descendantcharacterizationcombiningcorrespondencederive
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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.

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  1. Reconstruction of $g=1$ permutation equivariant quantum $K$-invariants

    math.AG 2025-02 conditional novelty 6.0 of 10

    A reconstruction theorem expresses genus-one permutation-equivariant quantum K-invariants of any compact Kähler manifold in terms of genus-zero data and residues.

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