| Softcover ISBN: | 978-2-85629-911-1 |
| Product Code: | AST/413 |
| List Price: | $68.00 |
| AMS Member Price: | $54.40 |
| Softcover ISBN: | 978-2-85629-911-1 |
| Product Code: | AST/413 |
| List Price: | $68.00 |
| AMS Member Price: | $54.40 |
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Book DetailsAstérisqueVolume: 413; 2019; 156 ppMSC: Primary 53; 58
This is the second paper of a series dedicated to the study of Poisson structures of compact types (PMCTs). In this paper, the authors focus on regular PMCTs, exhibiting a rich transverse geometry. They show that their leaf spaces are integral affine orbifolds. They prove that the cohomology class of the leafwise symplectic form varies linearly and that there is a distinguished polynomial function describing the leafwise sympletic volume. The leaf space of a PMCT carries a natural Duistermaat-Heckman measure and a Weyl type integration formula holds.
The authors introduce the notion of a symplectic gerbe and show that they obstruct realizing PMCTs as the base of a symplectic complete isotropic fibration (a.k.a. a non-commutative integrable system).
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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This is the second paper of a series dedicated to the study of Poisson structures of compact types (PMCTs). In this paper, the authors focus on regular PMCTs, exhibiting a rich transverse geometry. They show that their leaf spaces are integral affine orbifolds. They prove that the cohomology class of the leafwise symplectic form varies linearly and that there is a distinguished polynomial function describing the leafwise sympletic volume. The leaf space of a PMCT carries a natural Duistermaat-Heckman measure and a Weyl type integration formula holds.
The authors introduce the notion of a symplectic gerbe and show that they obstruct realizing PMCTs as the base of a symplectic complete isotropic fibration (a.k.a. a non-commutative integrable system).
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
