55 citations · 199 across the 32 of their papers we have counts for
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math.KT2016
Some Remarks on Units in Grothendieck-Witt Rings
Tom Bachmann
We establish new structures on Grothendieck-Witt rings, including a GW(k)-module structure on the unit group GW(k)^x and a presentation of \ul{GW}^x as an infinite Gm-loop sheaf. E…
math.KT2016★ 26 cited
The Generalized Slices of Hermitian K-Theory
Tom Bachmann
We compute the generalized slices (as defined by Spitzweck-Østvær) of the motivic spectrum KO (representing hermitian K-theory) in terms of motivic cohomology and (a version of) ge…
math.KT2016★ 55 cited
Motivic and Real Etale Stable Homotopy Theory
Tom Bachmann
Let X be a Noetherian scheme of finite dimension and denote by rho the (additive inverse of the) morphism in SH(X) from S to Gm corresponding to the unit -1. Here SH(X) denotes the…