Leibniz cohomology for differentiable manifolds

Jerry M. Lodder

Annales de l'institut Fourier (1998)

  • Volume: 48, Issue: 1, page 73-95
  • ISSN: 0373-0956

Abstract

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We propose a definition of Leibniz cohomology, H L * , for differentiable manifolds. Then H L * becomes a non-commutative version of Gelfand-Fuks cohomology. The calculations of H L * ( R n ; R ) reduce to those of formal vector fields, and can be identified with certain invariants of foliations.

How to cite

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Lodder, Jerry M.. "Leibniz cohomology for differentiable manifolds." Annales de l'institut Fourier 48.1 (1998): 73-95. <http://eudml.org/doc/75282>.

@article{Lodder1998,
abstract = {We propose a definition of Leibniz cohomology, $HL^*$, for differentiable manifolds. Then $HL^*$ becomes a non-commutative version of Gelfand-Fuks cohomology. The calculations of $HL^* (\{\bf R\}^n; \{\bf R\})$ reduce to those of formal vector fields, and can be identified with certain invariants of foliations.},
author = {Lodder, Jerry M.},
journal = {Annales de l'institut Fourier},
keywords = {Leibniz cohomology; foliations; differentiable manifolds; Gelfand-Fuks cohomology; Leibniz algebras; continuous Leibniz cohomology},
language = {eng},
number = {1},
pages = {73-95},
publisher = {Association des Annales de l'Institut Fourier},
title = {Leibniz cohomology for differentiable manifolds},
url = {http://eudml.org/doc/75282},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Lodder, Jerry M.
TI - Leibniz cohomology for differentiable manifolds
JO - Annales de l'institut Fourier
PY - 1998
PB - Association des Annales de l'Institut Fourier
VL - 48
IS - 1
SP - 73
EP - 95
AB - We propose a definition of Leibniz cohomology, $HL^*$, for differentiable manifolds. Then $HL^*$ becomes a non-commutative version of Gelfand-Fuks cohomology. The calculations of $HL^* ({\bf R}^n; {\bf R})$ reduce to those of formal vector fields, and can be identified with certain invariants of foliations.
LA - eng
KW - Leibniz cohomology; foliations; differentiable manifolds; Gelfand-Fuks cohomology; Leibniz algebras; continuous Leibniz cohomology
UR - http://eudml.org/doc/75282
ER -

References

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