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arXiv · 2407.13031

Power operations preserve Thom classes in twisted equivariant Real K-theory

Daniel Berwick-Evans·Meng Guo
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Abstract

We construct power operations for twisted KR-theory of topological stacks. Standard algebraic properties of Clifford algebras imply that these power operations preserve universal Thom classes. As a consequence, we show that the twisted Atiyah-Bott-Shapiro orientation commutes with power operations.

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Daniel Berwick-Evans, Meng Guo. 2024-07-17. Power operations preserve Thom classes in twisted equivariant Real K-theory. https://arxiv.org/abs/2407.13031

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