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'mapping class group'
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| Title of object: |
mapping class group |
| Canonical Name: |
MappingClassGroup |
| Type: |
Definition |
| Created on: |
2004-12-11 03:08:36 |
| Modified on: |
2004-12-11 03:08:36 |
| Classification: |
msc:57R50 |
Revision comment (for changes between this and next version):
| Changes for correction #5426 ('?'). |
Preamble:
% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here |
Content:
| Since the set of diffeomorphisms of a manifold which are diffeotopic 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 \emph{ mapping class group}. |
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