On the low-dimensional homology of \(\mathrm{SL}_2(k [t, t^{- 1}])\) (Q2254148)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the low-dimensional homology of \(\mathrm{SL}_2(k [t, t^{- 1}])\) |
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On the low-dimensional homology of \(\mathrm{SL}_2(k [t, t^{- 1}])\) (English)
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4 February 2015
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The author proves analogues of the fundamental theorem of \(K\)-theory for the second and the third homology of SL\(_2\) over an infinite field. The statements of the theorems involve Milnor-Witt \(K\)-theory and refined scissors congruence groups. He uses these results to calculate the low-dimensional homology of SL\(_2\) of Laurent polynomials over certain fields.
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\(K\)-theory
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group homology
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