12 citations · 65 across the 25 of their papers we have counts for
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Hilbert reciprocity using K-theory localization
Oliver Braunling
Usually the boundary map in K-theory localization only gives the tame symbol at . It sees the tamely ramified part of the Hilbert symbol, but no wild ramification. Gillet ha…
A non-commutative analogue of Clausen's view on the idèle class group
Oliver Braunling, Ruben Henrard, Adam-Christiaan van Roosmalen
Clausen predicted that Chevalley's idèle class group of a number field appears as the first -group of the category of locally compact -vector spaces. This has turned out…
Classes in Zakharevich K-groups constructed from Quillen K-theory
Oliver Braunling, Michael Groechenig
We show that the K-groups K_{n}(O) for O the integers or an order in a CM field and n>0 appear as direct summands of the homotopy groups of various localisations of Zakharevich's K…
The standard realizations for the K-theory of varieties
Oliver Braunling, Michael Groechenig, Anubhav Nanavaty
The Grothendieck ring of varieties has well-known realization maps to, say, mixed Hodge structures or compactly supported -adic cohomology. Zakharevich and\ Campbell have dev…