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arXiv · 1508.04374

Permutation-equivariant quantum K-theory II. Fixed point localization

Alexander Givental
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Abstract

Using projective spaces as examples of toric manifolds, we examine K-theoretic fixed point localization. On the one hand, we will see how the permutation-equivariant theory of the point target space emerges as a necessary ingredient. On the other hand, we will completely characterize the genus-0 permutation-equivariant quantum K-theory of the given toric manifold in terms of such theory for the point, and a certain recursion relation.

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Alexander Givental. 2015-08-18. Permutation-equivariant quantum K-theory II. Fixed point localization. https://arxiv.org/abs/1508.04374

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