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arXiv · 2308.01873

A deformation of Borel equivariant homotopy

Gabriel Angelini-Knoll·Mark Behrens·Eva Belmont·Hana Jia Kong
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Abstract

We describe a deformation of the $\infty$-category of Borel $G$-spectra for a finite group $G$. This provides a new presentation of the $a$-complete real Artin--Tate motivic stable homotopy category when $G=C_2$ and gives a new interpretation of the $a$-completed $C_2$-effective slice spectral sequence. As a new computational tool, we present a modified Adams--Novikov spectral sequence which computes the $RO(G)$-graded Mackey functor valued homotopy of Borel $G$-spectra.

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Gabriel Angelini-Knoll, Mark Behrens, Eva Belmont, Hana Jia Kong. 2023-08-03. A deformation of Borel equivariant homotopy. https://arxiv.org/abs/2308.01873

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