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Duistermaat, J. J.; Heckman, G. J.

On the variation in the cohomology of the symplectic form of the reduced phase space. (English) Zbl 0503.58015

Invent. Math. 69, 259-268 (1982).
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Cited in 15 Reviews
Cited in 232 Documents

MathOverflow Questions:

Two questions on history of symplectic geometry in the 80’s

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
28C10 Set functions and measures on topological groups or semigroups, Haar measures, invariant measures
70H05 Hamilton’s equations

Keywords:

Hamiltonian torus action; Liouville measures; polynomial measure; momentum mapping; horizontal curves of a T-invariant connection; Chern class; canonical measure
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\textit{J. J. Duistermaat} and \textit{G. J. Heckman}, Invent. Math. 69, 259--268 (1982; Zbl 0503.58015)
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References:

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[11] [Se] Serre, J-P.: Représentations linéaires et espaces homogènes Kählériennes des groupes de Lie compacts. Sém. Bourbaki 1953/54, Exposé 100
[12] [W1] Weinstein, A.: Symplectic manifolds and their Lagrangian submanifolds. Adv. Math.6, 329-346 (1971) · Zbl 0213.48203
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[14] [W3] Weinstein, A.: SymplecticV-manifolds, periodic orbits of Hamiltonian systems and the volume of certain Riemannian manifolds. Comm. Pure Appl. Math.30, 265-271 (1977) · Zbl 0339.58007
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