Mapping Class Groups of Hyperbolic Surfaces and Automorphism Groups of Graphs

By P. S. Schaller. Compositio Mathematica, 2000

48 citations recorded by the source corpus.

Subfields: Computer Graphics and Computer-Aided Design, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/072a554e9c37ffee3e5cd528e67b42dda1836420

How researchers see this paper

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

In Computer Graphics and Computer-Aided Design

1. Elmas Irmak
2. John D. McCarthy

In Geometry and Topology

1. John D. McCarthy
2. Elmas Irmak
3. Dany Margalit
4. Jason A. Behrstock
5. Tara E. Brendle

In Mathematical Physics

1. John D. McCarthy
2. Elmas Irmak
3. Dany Margalit
4. Tara E. Brendle

Citations in the corpus

• Injections of Artin groups (2005, unknown): “d±(F) [21]. To do this, he applied his theorem that Aut(C(F)) ∼= Mod±(F) in these cases. His method has been used to prove similar theorems by Korkmaz [27], Ivanov and McCarthy [23], Schmutz Schaller [31], Irmak [18] [17] [16], Margalit [28], Irmak, Ivanov, and McCarthy [19], Farb and Ivanov [12], M”
• Injective simplicial maps of the arc complex (2006, background): “wer genus cases. After Ivanov’s work, extended mapping class group was viewed as the automorphism group of various geometric objects on surfaces. Some of these objects include Schaller’s complex (see [S] by Schaller), the complex of pants decompositions (see [M] by Margalit), the complex of nonsepar”
• Complexes of nonseparating curves and mapping class groups (2004, methodology): “t least two. These theorems were motivated by the work of Ivanov [5], and Ivanov and McCarthy [7]. For automorphism groups of some complexes related to complex of nonseparating curves N(R), see [11], [13]. 2 PropertiesofSuperinjectiveSimplicialMapsofN(R) A circle on R is a properly embedded image of”