Stability of the Rational Homotopy Type of Moduli Spaces

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dc.creatorVoronov, Alexander A.
dc.date1997-08-22
dc.date.accessioned2026-07-07T09:07:22Z
dc.date.available2026-07-07T09:07:22Z
dc.descriptionWe 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.
dc.description7 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/alg-geom/9708019
dc.identifierhttp://arxiv.org/abs/alg-geom/9708019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150351
dc.subjectAlgebraic Geometry
dc.subject14H10 (Primary) 32G15, 55P62 (Secondary)
dc.titleStability of the Rational Homotopy Type of Moduli Spaces
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