The paper attempts to define a T-equivariant complex orientation for K-theory via a formal group law, but the proof has a load-bearing algebraic sign error.
A 1-dimensional formal group over the prismatization of Spf Z_p
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abstract
Let Sigma denote the prismatization of Spf (Z_p). The multiplicative group over Sigma maps to the prismatization of the multiplicative group over Spf (Z_p). We prove that the kernel of this map is the Cartier dual of some 1-dimensional formal group over Sigma. We obtain some results about this formal group (e.g., we describe its Lie algebra). We give a very explicit description of the pullback of the formal group to the quotient of the q-de Rham prism by the action of the multiplicative group of Z_p.
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math.KT 1years
2025 1verdicts
REJECT 1representative citing papers
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On a complex topological orientation for circle-equivariant K-theory
The paper attempts to define a T-equivariant complex orientation for K-theory via a formal group law, but the proof has a load-bearing algebraic sign error.