M. Groechenig

activity

20122026

most citedCluster algebras of infinite rank

16 citations · 43 across the 20 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.AG2014

A Generalized Contou-Carrère Symbol and its Reciprocity Laws in Higher Dimensions

Oliver Braunling, Michael Groechenig, Jesse Wolfson

We generalize the theory of Contou-Carrère symbols to higher dimensions. To an $(n + 1)$ -tuple $f_{0}, \dots, f_{n} \in A ((t_{1})) \dots ((t_{n}))^{\times}$ , where $A$ denotes a commutative alg…

math.KT2014★ 5 cited

The Index Map in Algebraic K-Theory

Oliver Braunling, Michael Groechenig, Jesse Wolfson

For a ring $R$ , we construct a universal $K_{R}$ -torsor $T_{R} \to K_{T a t e (R)}$ on the $K$ -theory space of Tate $R$ -modules. This torsor is closely related to canonical centra…

math.KT2014★ 12 cited

Tate Objects in Exact Categories (with appendix by Jan \vS\vtov\'ı\vcek and Jan Trlifaj)

Oliver Braunling, Michael Groechenig, Jesse Wolfson

We study elementary Tate objects in an exact category. We characterize the category of elementary Tate objects as the smallest sub-category of admissible Ind-Pro objects which cont…