Secondary homological stability for mapping class groups of nonorientable surfaces

Max Vistrup

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arXiv · 2112.13084

Secondary homological stability for mapping class groups of nonorientable surfaces

Max Vistrup

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Abstract

Using the Galatius--Kupers--Randal-Williams framework of cellular $E_2$-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.

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Max Vistrup. 2021-12-24. Secondary homological stability for mapping class groups of nonorientable surfaces. https://arxiv.org/abs/2112.13084

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