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arXiv · 1309.5010

The third homology of SL_2 of local rings

Kevin Hutchinson
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Abstract

We describe the third homology of SL_2 of local rings over Z[1/2] in terms of a refined Bloch group. We use this to derive a localization sequence for the third homology of SL_2 of certain discrete valuation rings, and to make explicit computations for p-adic integers and other local rings.

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Kevin Hutchinson. 2013-09-19. The third homology of SL_2 of local rings. https://arxiv.org/abs/1309.5010

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