The Chern character for Lie-Rinehart algebras

Details The Chern character for Lie-Rinehart algebras The Chern character for Lie-Rinehart algebras

2004-08-31

arxiv.org/abs/math/0408428v5

Mathematics

Algebraic Geometry

17 pages, revised version. References added. Example added in section 3

Scientific paper

Classical Chern-Weil theory proves existence of a ring homomorphism - the Chern character - from the Grothendieck ring of locally free finite rank A-modules to the algebraic de Rham cohomology of A. In this paper we prove existence of a ring homomorphism from the Grothendieck ring of locally free finite rank A-modules with an L-connection to the Lie-Rinehart cohomology of L, where L is a Lie-Rinehart algebra. As a corollary we get the classical Chern character.

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