Stability of the Rational Homotopy Type of Moduli Spaces
Abstract
Description
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.
7 pages, 1 figure
7 pages, 1 figure