Permutation-equivariant quantum K-theory XI. Quantum Adams-Riemann-Roch
Algebraic Geometry
2017-11-15 v1
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].
Cite
@article{arxiv.1711.04201,
title = {Permutation-equivariant quantum K-theory XI. Quantum Adams-Riemann-Roch},
author = {Alexander Givental},
journal= {arXiv preprint arXiv:1711.04201},
year = {2017}
}
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24 pages