Search results for "Cohomology"

showing 3 items of 83 documents

New applications of graded Lie algebras to Lie algebras, generalized Lie algebras and cohomology

2007

We give new applications of graded Lie algebras to: identities of standard polynomials, deformation theory of quadratic Lie algebras, cyclic cohomology of quadratic Lie algebras, $2k$-Lie algebras, generalized Poisson brackets and so on.

[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]2k-Lie algebrasstandard polynomial.standard polynomial[ MATH.MATH-RT ] Mathematics [math]/Representation Theory [math.RT]Deformation theoryGerstenhaber-Nijenhuis bracketFOS: Mathematicsgraded Lie algebrasquadratic Lie algebra[MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT]Representation Theory (math.RT)Gerstenhaber bracketcyclic cohomologysuper Poisson bracketsMathematics - Representation TheorySchouten bracket17B70 17B05 17B20 17B56 17B60 17B65
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Combinatorics of Mumford-Morita-Miller classes in low genus

2003

Here we use elementary combinatorial arguments to give explicit formulae and relations for some cohomology classes of moduli spaces of stable curves of low genus.

rational cohomology classes moduli spaces of rational curvesSettore MAT/03 - Geometria
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Calculating cohomology groups of $overline M_0,n(mathbb P^r,d)$

2003

Here we investigate the rational cohomology of the moduli space ℳ̄0,n (ℙr,d) of degree d stable maps from n-pointed rational curves to ℙr. We obtain partial results for small values of d with an inductive method inspired by a paper of Enrico Arbarello and Maurizio Cornalba.

rational cohomology moduli space of stable mapsSettore MAT/03 - Geometria
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