mapping class group

Since the set of diffeomorphismsMathworldPlanetmath of a manifold which are diffeotopic ( to the identityPlanetmathPlanetmath is a normal subgroupMathworldPlanetmath of the group of all diffeomorphisms, we can form the quotient of the diffeomorphism group by this subgroupMathworldPlanetmathPlanetmath. This quotient is known as the mapping class groupPlanetmathPlanetmath.

Title mapping class group
Canonical name MappingClassGroup
Date of creation 2013-03-22 14:52:51
Last modified on 2013-03-22 14:52:51
Owner rspuzio (6075)
Last modified by rspuzio (6075)
Numerical id 5
Author rspuzio (6075)
Entry type Definition
Classification msc 57R50