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The Chern character for Lie-Rinehart algebras

Helge Øystein Maakestad
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Abstract

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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BibTeXRIS

Helge Øystein Maakestad. 2004-08-31. The Chern character for Lie-Rinehart algebras. https://arxiv.org/abs/math/0408428

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