Low-dimensional Homology of SL_2(k[t,1/t])
K-Theory and Homology
2014-04-24 v1
Abstract
We prove analogues of the fundamental theorem of algebraic K-theory for the second and third homology of SL_2 over an infinite field k. The statements involve Milnor-Witt K-theory and scissors congruence groups. We use these results to calculate the low-dimensional homology of SL_2 of Laurent polynomials over certain fields.
Keywords
Cite
@article{arxiv.1404.5896,
title = {Low-dimensional Homology of SL_2(k[t,1/t])},
author = {Kevin Hutchinson},
journal= {arXiv preprint arXiv:1404.5896},
year = {2014}
}
Comments
24 pages