Homological stability of non-orientable mapping class groups with marked points

TL;DR

This paper extends Wahl's homological stability results for non-orientable mapping class groups to include surfaces with marked points, analyzing how the presence of marked points affects stability.

Contribution

It introduces an analysis of homological stability for non-orientable mapping class groups with marked points, expanding previous stability results.

Findings

Homology stabilizes as genus increases even with marked points

Marked points do not disrupt the stability phenomenon

Provides new insights into the structure of non-orientable mapping class groups

Abstract

Wahl recently proved that the homology of the non-orientable mapping class group stabilizes as the genus increases. In this short note we analyse the situation where the underlying non-orientable surfaces have marked points.