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DC Field | Value | Language |
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dc.contributor.author | Guillén Santos, Francisco | cat |
dc.contributor.author | Navarro, Vicenç (Navarro Aznar) | cat |
dc.contributor.author | Pascual Gainza, Pere | cat |
dc.contributor.author | Roig, Agustí | cat |
dc.date.accessioned | 2009-08-19T11:00:36Z | - |
dc.date.available | 2009-08-19T11:00:36Z | - |
dc.date.issued | 2005 | cat |
dc.identifier.issn | 0012-7094 | cat |
dc.identifier.uri | http://hdl.handle.net/2445/9169 | - |
dc.description.abstract | 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.extent | 45 p. | cat |
dc.format.mimetype | application/pdf | eng |
dc.language.iso | eng | eng |
dc.publisher | Duke University Press | cat |
dc.relation.isformatof | Reproducció del document publicat a http://dx.doi.org/10.1215/S0012-7094-05-12924-6 | cat |
dc.relation.ispartof | Duke Mathematical Journal, 2005, vol. 129, núm. 2, p. 291-335. | cat |
dc.relation.uri | http://dx.doi.org/10.1215/S0012-7094-05-12924-6 | - |
dc.rights | (c) Duke University Press, 2005 | cat |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Mòduls (Àlgebra) | cat |
dc.subject.classification | Àlgebra homològica | cat |
dc.subject.classification | Categories (Matemàtica) | cat |
dc.subject.other | Families, algebraic moduli (curves) | eng |
dc.subject.other | Operads | eng |
dc.subject.other | Nonabelian homotopical algebra | eng |
dc.title | Moduli spaces and formal operads | cat |
dc.type | info:eu-repo/semantics/article | eng |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 519204 | cat |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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File | Description | Size | Format | |
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519204.pdf | 341.43 kB | Adobe PDF | View/Open |
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