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Permutation-equivariant quantum K-theory VII. General theory (1510.03076v1)

Published 11 Oct 2015 in math.AG

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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