Parametrised moduli spaces of surfaces as infinite loop spaces
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We study the -algebra consisting of free loop spaces of moduli spaces of Riemann surfaces with one parametrised boundary component, and compute the homotopy type of the group completion: it is the product of with a certain free -space depending on the family of all boundary-irreducible mapping classes in all mapping class groups with and.
| Originalsprog | Engelsk |
|---|---|
| Artikelnummer | e39 |
| Tidsskrift | Forum of Mathematics, Sigma |
| Vol/bind | 10 |
| Sider (fra-til) | 1-42 |
| DOI | |
| Status | Udgivet - 2022 |
Bibliografisk note
Funding Information:
Andrea Bianchi was partially supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2047/1, 390685813), by the European Research Council under the European Union’s Seventh Framework Programme (ERC StG 716424 – CASe, PI Karim Adiprasito) and by the Danish National Research Foundation through the Copenhagen Centre for Geometry and Topology (DNRF151).
Funding Information:
Florian Kranhold was supported by the Max Planck Institute for Mathematics in Bonn, by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2047/1, 390685813) and by the Promotionsförderung of the Studienstiftung des Deutschen Volkes.
Funding Information:
Jens Reinhold was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – SFB 1442 427320536, Geometry: Deformations and Rigidity, as well as under Germany’s Excellence Strategy EXC-2044, Mathematics Münster: Dynamics – Geometry – Structure.
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