12 citations · 65 across the 25 of their papers we have counts for
5 papers · 1 filter
On the relative K-group in the ETNC, Part II
Oliver Braunling
In a previous paper we showed, under some assumptions, that the relative K-group in the Burns-Flach formulation of the equivariant Tamagawa number conjecture (ETNC) is canonically…
Automorphisms of OT manifolds and ray class numbers
Oliver Braunling, Victor Vuletescu
We compute the automorphism group of OT manifolds of simple type. We show that the graded pieces under a natural filtration are related to a certain ray class group of the underlyi…
On the relative K-group in the ETNC
Oliver Braunling
We consider the Burns-Flach formulation of the equivariant Tamagawa number conjecture (ETNC). In their setup, a Tamagawa number is an element of a relative K-group. We show that th…
The -structure of the index map
Oliver Braunling, Michael Groechenig, Jesse Wolfson
Let be a local field with residue field . The classifying space of comes canonically equipped with a map to the delooping of the -theory space of . Passing t…
On the automorphic side of the K-theoretic Artin symbol
Peter Arndt, Oliver Braunling
Clausen has constructed a homotopical enrichment of the Artin reciprocity symbol in class field theory. On the Galois side, Selmer K-homology replaces the abelianized Galois group,…