Finite presentations of centrally extended mapping class groups
Takefumi Nosaka

TL;DR
This paper provides a finite presentation for the universal central extension of the mapping class group of surfaces with genus at least 3, enhancing understanding of their algebraic structure.
Contribution
It offers the first explicit finite presentation of the universal central extension of mapping class groups for genus g ≥ 3 surfaces.
Findings
Finite presentation for $\mathcal{T}_{g,r}$ with $g \geq 3$
Analysis of the case $g=2$
Advances algebraic understanding of mapping class groups
Abstract
We describe a finite presentation of for . % or . Here is the universal central extension of the mapping class group of the surface of genus with -boundaries. We also investigate the case ,
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology
