12 citations · 65 across the 25 of their papers we have counts for
5 papers · 1 filter
On the homology of Lie algebras like
Oliver Braunling
We revisit a recent paper of Fialowski and Iohara. They compute the homology of the Lie algebra for an associative unital algebra over a field of char…
K-theory of locally compact modules over rings of integers
Oliver Braunling
We generalize a recent result of Clausen: For a number field with integers O, we compute the K-theory of locally compact O-modules. For the rational integers this recovers Clausen'…
On the normally ordered tensor product and duality for Tate objects
Oliver Braunling, Michael Groechenig, Aron Heleodoro +1
This paper generalizes the normally ordered tensor product from Tate vector spaces to Tate objects over arbitrary exact categories. We show how to lift bi-right exact monoidal stru…
Multiplicative zeta function and logarithmic point counting over finite fields
Oliver Braunling
The zeta function of a motive over a finite field is multiplicative with respect to the direct sum of motives. It has beautiful analytic properties, as were predicted by the Weil c…
Torsion homology growth beyond asymptotics
Oliver Braunling
We show that (under mild assumptions) the generating function of log homology torsion of a knot exterior has a meromorphic continuation to the entire complex plane. As corollaries,…