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arXiv · 1404.5896

Low-dimensional Homology of SL_2(k[t,1/t])

Kevin Hutchinson
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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.

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Kevin Hutchinson. 2014-04-23. Low-dimensional Homology of SL_2(k[t,1/t]). https://arxiv.org/abs/1404.5896

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