mapping class group
Since the set of diffeomorphisms![]()
of a manifold which are diffeotopic (http://planetmath.org/Diffeotopy) to the identity
is a normal subgroup
![]()
of the group of all diffeomorphisms, we can form the quotient of the diffeomorphism group by this subgroup
![]()
. This quotient is known as the mapping class group
.
| 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 |