14 citations · 24 across the 15 of their papers we have counts for
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math.AT2020★ 1 cited
Mapping spaces in homotopy coherent nerves
Fabian Hebestreit, Achim Krause
We give a direct proof that middle mapping spaces in coherent nerves of Kan enriched categories have the same homotopy type as the original mapping spaces.
math.AT2020★ 5 cited
The Picard group in equivariant homotopy theory via stable module categories
Achim Krause
We develop a mechanism of "isotropy separation for compact objects" that explicitly describes an invertible -spectrum through its collection of geometric fixed points and gluing…
math.KT2020
Witt vectors with coefficients and characteristic polynomials over non-commutative rings
Emanuele Dotto, Achim Krause, Thomas Nikolaus +1
For a not-necessarily commutative ring R we define an abelian group W(R;M) of Witt vectors with coefficients in an R-bimodule M. These groups generalize the usual big Witt vectors…