Kilian Liebe: The Steinberg Module of the Mapping Class Group
Master Thesis
Tid: Ti 2024-02-06 kl 09.00 - 10.00
Plats: Cramerrummet (Albano, SU)
Respondent: Kilian Liebe
Handledare: Dan Petersen
Abstract.
The Steinberg module is a certain homology group of the curve complex of a surface considered as a module over the mapping class group of the surface. In this paper we will define the Steinberg module and examine some of its properties. Most notably we will look at a presentation for the Steinberg module and at a proof that it is cyclic.