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| dc.creator | Guillén Santos, Francisco | |
| dc.creator | Navarro, Vicenç (Navarro Aznar) | |
| dc.creator | Pascual Gainza, Pere | |
| dc.creator | Roig, Agustí | |
| dc.date | 2009-08-19T11:00:36Z | |
| dc.date | 2009-08-19T11:00:36Z | |
| dc.date | 2005 | |
| dc.date.accessioned | 2024-12-16T10:18:43Z | |
| dc.date.available | 2024-12-16T10:18:43Z | |
| dc.identifier | 0012-7094 | |
| dc.identifier | http://hdl.handle.net/2445/9169 | |
| dc.identifier | 519204 | |
| dc.identifier.uri | http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/8136 | |
| dc.description | Let overline{M}_{g,n} be the moduli space of stable algebraic curves of genus g with n marked points. With the operations which relate the different moduli spaces identifying marked points, the family (overline{M}_{g,n})_{g,n} is a modular operad of projective smooth Deligne-Mumford stacks, overline{M}. In this paper we prove that the modular operad of singular chains C_*(overline{M};Q) is formal; so it is weakly equivalent to the modular operad of its homology H_*(overline{M};Q). As a consequence, the "up to homotopy" algebras of these two operads are the same. To obtain this result we prove a formality theorem for operads analogous to Deligne-Griffiths-Morgan-Sullivan formality theorem, the existence of minimal models of modular operads, and a characterization of formality for operads which shows that formality is independent of the ground field. | |
| dc.format | 45 p. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Duke University Press | |
| dc.relation | Reproducció del document publicat a http://dx.doi.org/10.1215/S0012-7094-05-12924-6 | |
| dc.relation | Duke Mathematical Journal, 2005, vol. 129, núm. 2, p. 291-335. | |
| dc.relation | http://dx.doi.org/10.1215/S0012-7094-05-12924-6 | |
| dc.rights | (c) Duke University Press, 2005 | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | |
| dc.subject | Mòduls (Àlgebra) | |
| dc.subject | Àlgebra homològica | |
| dc.subject | Categories (Matemàtica) | |
| dc.subject | Families, algebraic moduli (curves) | |
| dc.subject | Operads | |
| dc.subject | Nonabelian homotopical algebra | |
| dc.title | Moduli spaces and formal operads | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion |
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