mapping class group of the torus

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf mapping class group
gptkbp:actsOn Teichmüller space of the torus
moduli space of the torus
gptkbp:centralTo {±I}
https://www.w3.org/2000/01/rdf-schema#label mapping class group of the torus
gptkbp:isomorphicTo gptkb:SL(2,Z)
gptkbp:isQuotientOf gptkb:PSL(2,Z)
gptkbp:order infinite
gptkbp:originatedIn gptkb:algebraic_geometry
complex analysis
modular forms
low-dimensional topology
orientation-preserving diffeomorphisms of the torus modulo isotopy
gptkbp:presentedBy generators S,T with relations S^4=1, (ST)^3=1
gptkbp:relatedTo modular group
braid group on 3 strands
gptkbp:bfsParent gptkb:torus_bundle
gptkbp:bfsLayer 5