Weight decompositions on algebraic models for mapping spaces and homotopy automorphisms
We obtain restrictions on the rational homotopy types of mapping spaces and of classifying spaces of homotopy automorphisms by means of the theory of positive weight decompositions. The theory applies, in particular, to connected components of holomorphic maps between compact Kähler manifolds as wel...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Consorcio Madroño |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:dnet:recercat____::31b83bab276f07893fbbfe9ce4d7eb80 |
| Acceso en línea: | https://hdl.handle.net/2445/228889 |
| Access Level: | acceso abierto |
| Palabra clave: | Teoria de l'homotopia Grups topològics Singularitats (Matemàtica) Homotopy theory Topological groups Singularities (Mathematics) |
| Sumario: | We obtain restrictions on the rational homotopy types of mapping spaces and of classifying spaces of homotopy automorphisms by means of the theory of positive weight decompositions. The theory applies, in particular, to connected components of holomorphic maps between compact Kähler manifolds as well as homotopy automorphisms of Kähler manifolds. |
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