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.
Bianchi, A., Kranhold, F., Reinhold, J. (2022). Parametrised moduli spaces of surfaces as infinite loop spaces. FORUM OF MATHEMATICS. SIGMA, 10, 1-42 [10.1017/fms.2022.29].
Parametrised moduli spaces of surfaces as infinite loop spaces
Bianchi, Andrea;
2022
Abstract
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.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
