M. Groechenig

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20172021

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math.KT2021

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…

math.KT2018

The $A_{\infty}$ -structure of the index map

Oliver Braunling, Michael Groechenig, Jesse Wolfson

Let $F$ be a local field with residue field $k$ . The classifying space of $G L_{n} (F)$ comes canonically equipped with a map to the delooping of the $K$ -theory space of $k$ . Passing t…

Classes in Zakharevich K-groups constructed from Quillen K-theory

The A∞​-structure of the index map

The $A_{\infty}$ -structure of the index map