# 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 |