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

Daniel Berwick-Evans; Meng Guo

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

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arxiv 2407.13031 v1 pith:TJFP7WWL submitted 2024-07-17 math.AT math.KT

Daniel Berwick-Evans , Meng Guo This is my paper

classification math.ATmath.KT

keywords operationspowertwistedclassespreservethomalgebraicalgebras

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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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