6533b85afe1ef96bd12b9271
RESEARCH PRODUCT
CHEVALLEY COHOMOLOGY FOR KONTSEVICH'S GRAPHS
Didier ArnalAngela GammellaMohsen Masmoudisubject
Mathematics::K-Theory and Homology[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]Mathematics::Quantum AlgebraMathematics::Rings and Algebras[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph][MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Mathematics::Representation TheoryMathematics::Algebraic Topologydescription
We introduce the Chevalley cohomology for the graded Lie algebra of polyvector fields on $R^d$. This cohomology occurs naturally in the problem of construction and classification of fomalities on the sapce $ R^d$. Considering only graphs formalities, we define the Chevalley cohomology directly on spaces of graphs. We obtain some simple expressions for the Chevalley coboundary operator and we give examples and applications.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-01-01 |