English

Secondary homological stability for mapping class groups of nonorientable surfaces

Geometric Topology 2023-01-31 v2

Abstract

Using the Galatius--Kupers--Randal-Williams framework of cellular E2E_2-algebras, we prove a secondary stability theorem for mapping class groups of nonorientable surfaces. As a corollary, we obtain a new best known stability range for the homology of the mapping class groups of nonorientable surfaces with respect to adding torus holes.

Keywords

Cite

@article{arxiv.2112.13084,
  title  = {Secondary homological stability for mapping class groups of nonorientable surfaces},
  author = {Max Vistrup},
  journal= {arXiv preprint arXiv:2112.13084},
  year   = {2023}
}

Comments

Revise setup, use algebraic model of E_2-algebra