EUDML

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Rapport sur la géométrie $S L_{2} 𝐙$ par morceaux

Peter Greenberg

Séminaire de théorie spectrale et géométrie

Les espaces de bracelets et les complexes de Stasheff

Peter Greenberg

Séminaire de théorie spectrale et géométrie

Models for actions of certain groupoids

Peter Greenberg — 1985

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Area preserving pl homeomorphisms and relations in $K_{2}$

Peter Greenberg — 1998

Annales de l'institut Fourier

To any compactly supported, area preserving, piecewise linear homeomorphism of the plane is associated a relation in $K_{2}$ of the smallest field whose elements are needed to write the homeomorphism. Using a formula of J. Morita, we show how to calculate the relation, in some simple cases. As applications, a “reciprocity” formula for a pair of triangles in the plane, and some explicit elements of torsion in $K_{2}$ of certain function fields are found.