Comparing orthogonal calculus and calculus with Reality

Published 31 May 2022 in math.AT | (2205.15660v2)

Abstract: We show that there exists a suitable $C_2$-fixed points functor from calculus with Reality to the orthogonal calculus of Weiss which recovers orthogonal calculus ``up to a shift'' in an analogous way with the recovery of real topological $K$-theory from Atiyah's $K$-theory with Reality via appropriate $C_2$-fixed points.

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Niall Taggart

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