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The Chern character for Lie-Rinehart algebras

Helge Maakestad (2005)

Annales de l'institut Fourier

Let $A$ be a commutative $S$ -algebra where $S$ is a ring containing the rationals. We prove the existence of a Chern character for Lie-Rinehart algebras $L$ over A with values in the Lie-Rinehart cohomology of L which is independent of choice of a $L$ -connection. Our result generalizes the classical Chern character from the $K$ -theory of $A$ to the algebraic De Rham cohomology.

The spectral sequence relating algebraic K-theory to motivic cohomology

Eric M. Friedlander, Andrei Suslin (2002)

Annales scientifiques de l'École Normale Supérieure

The tangent complex to the Bloch-Suslin complex

Jean-Louis Cathelineau (2007)

Bulletin de la Société Mathématique de France

Motivated by a renewed interest for the “additive dilogarithm” appeared recently, the purpose of this paper is to complete calculations on the tangent complex to the Bloch-Suslin complex, initiated a long time ago and which were motivated at the time by scissors congruence of polyedra and homology of ${SL}_{2}$ . The tangent complex to the trilogarithmic complex of Goncharov is also considered.

Displaying 1 – 3 of 3

The Chern character for Lie-Rinehart algebras

The spectral sequence relating algebraic K-theory to motivic cohomology

The tangent complex to the Bloch-Suslin complex

Currently displaying 1 – 3 of 3