Moment polytopes for symplectic manifolds with monodromy
Ngoc, San Vu
arXiv, 0504165 / Harvested from arXiv
Text on arXiv
A natural way of generalising Hamiltonian toric manifolds is to permit the presence of generic isolated singularities for the moment map. For a class of such ``almost-toric 4-manifolds'' which admits a Hamiltonian $S^1$-action we show that one can associate a group of convex polygons that generalise the celebrated moment polytopes of Atiyah, Guillemin-Sternberg. As an application, we derive a Duistermaat-Heckman formula demonstrating a strong effect of the possible monodromy of the underlying integrable system.
Publié le : 2005-04-08
Classification:  Mathematics - Symplectic Geometry,  Mathematical Physics,  53D05,  53D20,  37J15,  37J35,  57R45 
@article{0504165,
     author = {Ngoc, San Vu},
     title = {Moment polytopes for symplectic manifolds with monodromy},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504165}
}

Ngoc, San Vu. Moment polytopes for symplectic manifolds with monodromy. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504165/