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arXiv · alg-geom/9708019

Stability of the Rational Homotopy Type of Moduli Spaces

Alexander A. Voronov
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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.

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Alexander A. Voronov. 1997-08-22. Stability of the Rational Homotopy Type of Moduli Spaces. https://arxiv.org/abs/alg-geom/9708019

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