Seminar
A new proof of best slope stability for the mapping class group of surfaces
Higher algebraic structures in algebra, topology and geometry
14 April 14:15 - 16:00
Nathalie Wahl - University of Copenhagen
We use the "disordered arc complex" to give a quite direct proof of the slope 2/3 stability of the homology of the mapping class groups of surfaces, using Quillen's most standard spectral sequence argument for homological stability. This arc complex can be interpreted as a complex of destabilization for a certain disc-stabilization that has the effect of stabilizing "1/2 genus" at a time, and gives a rather exotic example of Krannich's stability framework for E_1-modules over E_2-algebras. This is joint work with Oscar Harr and Max Vistrup.
Organizers
Gregory Arone
Stockholm University
Tilman Bauer
KTH Royal Institute of Technology
Alexander Berglund
Stockholm University
Søren Galatius
University of Copenhagen
Jesper Grodal,
University of Copenhagen
Thomas Kragh
Uppsala University