8 citations · 11 across the 5 of their papers we have counts for
9 papers
Bloch Groups of Rings
Rodrigo Cuitun Coronado, Kevin Hutchinson
We give a definition of (refined) Bloch groups of general commutative rings which agrees with the standard definition in the case of local rings whose residue field has at least $4…
-rings and a graph of unimodular rows
Kevin Hutchinson
For a commutative ring we consider a related graph, , whose vertices are the unimodular rows of length up to multiplication by units. We prove that is path-con…
The Chern class for and the cyclic quantum dilogarithm
Kevin Hutchinson
In this note we confirm the conjecture of Calegari, Garoufalidis and Zagier in their recent paper in Ann. Sci. École Normale Sup. that , where is their map on $K_3…
The homology of of discrete valuation rings
Kevin Hutchinson, Behrooz Mirzaii, Fatemeh Yeganeh Mokari
Let be a discrete valuation ring with field of fractions and (sufficiently large) residue field . We prove that there is a natural exact sequence $H_3(\mathrm{SL}_2(A),\…
The third homology of
Kevin Hutchinson
We calculate the third homology of with half-integral coefficients. Corresponding to each prime there is an operator on this group with square the i…
Exact discrete resonances in the Fermi-Pasta-Ulam-Tsingou system
Miguel D. Bustamante, Kevin Hutchinson, Yuri V. Lvov +1
In systems of N coupled anharmonic oscillators, exact resonant interactions play an important role in the energy exchange between normal modes. In the weakly nonlinear regime, thos…