| 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 |
|