A finite presentation of the mapping class group of a punctured surface

By Sylvain Gervais. 2001

108 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2a7b020e308f6dfab365bbea1fc4599663346d3b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Andrew Putman
2. Rohit Nagpal
3. Jenny Wilson
4. Thomas Church
5. Jordan S. Ellenberg
6. Jeremy Miller

In Geometry and Topology

1. Andrew Putman
2. Rohit Nagpal
3. Jenny Wilson
4. Thomas Church
5. Jordan S. Ellenberg
6. Jeremy Miller

In Mathematical Physics

1. Andrew Putman
2. Rohit Nagpal
3. Jenny Wilson
4. Thomas Church
5. Jordan S. Ellenberg
6. Jeremy Miller

Citations in the corpus

• Cutting and pasting in the Torelli group (2006, background): “2: It is well-known that there exists a set S of simple closed curves in Σg,n so that {Tδ | δ ∈ S} generates Mod(Σg,n) and so that for all δ ∈ S we have ig(δ, γ) ≤ 1 (for example, S could be the curves the twists about which form the generating set in [5] and γ could be the “central” curve b from th”
• Low-dimensional homology groups of mapping class groups: a survey (2002, unknown): “A finite presentation of the mapping class group Γg,r is obtained by Gervais in [13].”