A presentation of the even spin mapping class group
Filippo Bianchi
TL;DR
This paper introduces a new cell complex with an action of the even spin mapping class group, leading to finite presentations and a set of Dehn twist generators, advancing understanding of this mathematical structure.
Contribution
It provides the first finite presentation of the even spin mapping class group using a novel cell complex and Dehn twist generators.
Findings
Finite presentation of the even spin mapping class group.
Construction of a cell complex with group action.
Finite presentation with Dehn twist generators.
Abstract
We define a cell complex with an action of the even spin mapping class group, and use it to obtain a finite presentation. We also obtain a finite presentation with Dehn twist generators.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models