- Moment map
- Symplectic cutting
- Linearlization theotem
- See also
- Notes
- References
- External links
In differential geometry, a Hamiltonian group action is a group action by a Lie group on a symplectic manifold 
with a moment map 
.
One of the driving forces for the study of Hamiltonian group action is its application to moduli spaces; for example, the moduli space of flat connections.[1] (This article however focuses on finite-dimensional spaces.)
Moment map
{{main|moment map}}for each 
,
where 
and 
is the fundamental vector field of 
.
Symplectic cutting
{{main|Symplectic cut}}Linearlization theotem
See also
- Kirwan map
Notes
1. ^See http://ncatlab.org/nlab/show/moduli+space+of+flat+connections
References
- Eugene Lerman, Anton Malkin. [https://arxiv.org/abs/0908.0903 Hamiltonian group actions on symplectic Deligne-Mumford stacks and toric orbifolds], 2009
External links
- http://mathoverflow.net/questions/168224/recommended-textbooks-for-hamiltonian-group-actions
- Goeldi
- Goeldiella
- Goeldiella eques
- Goeldi's Monkey
- Goeldi's Spiny Rat
- Goeldi’s monkey
- Goeldi’s Spiny-rat
- Goele
- Goelenkamp
- Goelhisar
- Goel (India)
- Goelkoey
- Goell
- Goelle
- Goellersdorf
- Goellheim
- Goellheim (Verbandsgemeinde)
- Goellingen
- Goellnitz
- Goelmarmara
- Goelnicbanya
- Goe Lotsawa
- Goelova
- Goelpazari
- Goelsdorf locomotive