Search results for " moduli spaces."

showing 3 items of 3 documents

A combinatorial algorithm related to the geometry of the moduli space of pointed curves

2002

As pointed out in Arbarello and Cornalba ( J. Alg. Geom. 5 (1996), 705–749), a theorem due to Di Francesco, Itzykson, and Zuber (see Di Francesco, Itzykson, and Zuber, Commun. Math. Phys. 151 (1993), 193–219) should yield new relations among cohomology classes of the moduli space of pointed curves. The coefficients appearing in these new relations can be determined by the algorithm we introduce in this paper.

Settore MAT/02 - AlgebraSettore MAT/03 - Geometriarational cohomology class moduli spaces of pointed curvesSchur Q-polynomials; projective representations; moduli space of curves
researchProduct

MR 3020148 Reviewed McMullen, C.T. Braid groups and Hodge theory. Mathematische Annalen, vol. 355 (2013), pp.893–-946. (Reviewer Francesca Vetro) 20F…

2014

In this paper, the author studies the unitary representations of the braid group and the geometric structures on moduli space that arise via the Hodge theory of cyclic branched coverings of P^1. In particular, the author is interested in the classification of certain arithmetic subgroups of U(r, s) which envelop the image of the braid group. The author investigates their connections with complex reflection groups, Teichm\"{u}lller curves, ergodic theory and problems in surface topology.

braid groups cyclic branched coverings moduli spaces.Settore MAT/03 - Geometria
researchProduct

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
researchProduct