Moment map
In mathematics, specifically in symplectic geometry, the momentum map (or moment map) is a tool associated with a Hamiltonian action of a Lie group on a symplectic manifold, used to construct conserved quantities for the action. The momentum map generalizes the classical notions of linear and angular momentum. It is an essential ingredient in various constructions of symplectic manifolds, including symplectic (Marsden–Weinstein) quotients, discussed below, and symplectic cuts and sums.
known for
ADHM constructionAlan WeinsteinBRST quantizationCoadjoint representationComplex geometryDuistermaat–Heckman formulaFrances KirwanFundamental vector fieldGIT quotientGauge theory (mathematics)Geometric mechanicsHamiltonian actionHamiltonian group actionIndex of physics articles (M)Interior productIsomonodromic deformationJean-Marie SouriauJerrold E. MarsdenKempf–Ness theoremKirwan mapKostant's convexity theoremKähler quotientLie group actionList of mathematical topics in classical mechanicsMarsden-Weinstein quotientMarsden-Weinstein reductionMarsden–Weinstein reductionMartin RočekMichael_AtiyahMoment mapMoment mapsMomentum mapQuantization commutes with reductionRebecca GoldinSchur–Horn theoremSymmetry in MechanicsSymplectic cutSymplectic geometrySymplectic quotientSymplectic reduction
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Moment map
In mathematics, specifically in symplectic geometry, the momentum map (or moment map) is a tool associated with a Hamiltonian action of a Lie group on a symplectic manifold, used to construct conserved quantities for the action. The momentum map generalizes the classical notions of linear and angular momentum. It is an essential ingredient in various constructions of symplectic manifolds, including symplectic (Marsden–Weinstein) quotients, discussed below, and symplectic cuts and sums.
has abstract
Die Impulsabbildung ist ein Ko ...... eoretisch erklärt werden kann.
@de
En géométrie symplectique, aux ...... à l'action infinitésimale de .
@fr
In mathematics, specifically i ...... and symplectic cuts and sums.
@en
在数学，尤其在辛几何中，动量映射是一个与辛流形上的李群的作用 ...... den–Weinstein) quotients，以及s和。
@zh
심플렉틱 기하학에서, 운동량 사상(運動量寫像, 영어: ...... 해밀턴 역학에서의 운동량과 각운동량을 일반화한 것이다.
@ko
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Die Impulsabbildung ist ein Ko ...... eoretisch erklärt werden kann.
@de
En géométrie symplectique, aux ...... à l'action infinitésimale de .
@fr
In mathematics, specifically i ...... and symplectic cuts and sums.
@en
在数学，尤其在辛几何中，动量映射是一个与辛流形上的李群的作用 ...... den–Weinstein) quotients，以及s和。
@zh
심플렉틱 기하학에서, 운동량 사상(運動量寫像, 영어: ...... 해밀턴 역학에서의 운동량과 각운동량을 일반화한 것이다.
@ko
label
Application moment
@fr
Impulsabbildung
@de
Moment map
@en
动量映射
@zh
운동량 사상
@ko