Rodrigo Cuitun Coronado

collaborators

3 papers

math.KT2022

Third homology of $SL_{2}$ over Number fields: The norm-Euclidean quadratic imaginary case

Rodrigo Cuitun Coronado

In the article The third homology of $S L_{2} (Q)$ , Hutchinson determined the structure of $H_{3} (SL_{2} (Q), Z [\frac{1}{2}])$ …

math.KT2022

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…

math.KT2021

The third homology of $S L_{2}$ of real quadratically closed fields

Rodrigo Cuitun Coronado

For a real closed field $R$ , we use the theory of the refined Bloch group to give a new short proof of the isomorphisms $H_{3}(SL_{2}(\mathbf{R}),\mathbb{Z})\cong K_{3}^{\…

Third homology of SL2​ over Number fields: The norm-Euclidean quadratic imaginary case

Bloch Groups of Rings

The third homology of SL2​ of real quadratically closed fields

Third homology of $SL_{2}$ over Number fields: The norm-Euclidean quadratic imaginary case

The third homology of $S L_{2}$ of real quadratically closed fields