On the completion of the mapping class group of genus two
Tatsunari Watanabe
TL;DR
This paper investigates the Lie algebra structure of the prounipotent radical related to the genus two mapping class group, providing partial presentations and bounds on relations.
Contribution
It offers a new partial presentation of the Lie algebra associated with the genus two mapping class group, advancing understanding of its algebraic structure.
Findings
Identified generators of the Lie algebra
Bounded the degree of relations in the presentation
Provided partial minimal presentation
Abstract
In this paper, we will study the Lie algebra of the prounipotent radical of the relative completion of the mapping class group of genus two. In particular, we will partially determine a minimal presentation of the Lie algebra by determining the generators and bounding the degree of the relations.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Finite Group Theory Research