Problems, Questions, and Conjectures about Mapping Class Groups

Abstract

We discuss a number of open problems about mapping class groups of surfaces. In particular, we discuss problems related to linearity, congruence subgroups, cohomology, pseudo-Anosov stretch factors, Torelli subgroups, and normal subgroups.

40 pages, 1 figure

References in corpus (5)

• Tropical curves, graph complexes, and top weight cohomology of M_g
• Generating Mapping Class Groups by Involutions
• Normal subgroups of mapping class groups and the metaconjecture of Ivanov
• Torelli buildings and their automorphisms
• The Arnoux-Yoccoz mapping classes via Penner's construction

Cited by in corpus (5)

• Topological representations of motion groups and mapping class groups -- a unified functorial construction
• On the top homology group of Johnson kernel
• The Arnoux-Yoccoz mapping classes via Penner's construction
• Generating mapping class group by two torsion elements
• Polynomiality of surface braid and mapping class group representations