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arXiv · 1711.04201

Permutation-equivariant quantum K-theory XI. Quantum Adams-Riemann-Roch

Alexander Givental
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Abstract

We introduce twisted permutation-equivariant GW-invariants, and compute them in terms of untwisted ones. The computation is based on Grothendieck-like RR formula corresponding to Adams' operations from K-theory to itself, and the result can be understood as a "quantum" version of such Adams-RR. As in the case of cohomological quantum RR theorem [3], the result is applied to express the invariants of bundle and super-bundle spaces in terms of those of the base. The bonus feature of permutation-equivariant K-theory is that the twisting classes can be understood as the simpler kappa-classes of Kabanov--Kimura [9].

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Alexander Givental. 2017-11-11. Permutation-equivariant quantum K-theory XI. Quantum Adams-Riemann-Roch. https://arxiv.org/abs/1711.04201

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