Stability of the Rational Homotopy Type of Moduli Spaces
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
We show that for g > 2k+2 the k-rational homotopy type of the moduli space M_{g,n} of algebraic curves of genus g with n punctures is independent of g, and the space M_{g,n} is k-formal. This implies the existence of a limiting rational homotopy type of M_{g,n} as g goes to infinity and the formality of it.
Cite
@article{arxiv.alg-geom/9708019,
title = {Stability of the Rational Homotopy Type of Moduli Spaces},
author = {Alexander A. Voronov},
journal= {arXiv preprint arXiv:alg-geom/9708019},
year = {2008}
}
Comments
7 pages, 1 figure