Topological classification of Lagrangian fibrations

被引：5

作者：

Sepe, Daniele ^{[1
,2
]}

机构：

[1] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland

[2] Univ Edinburgh, Maxwell Inst Math Sci, Edinburgh EH9 3JZ, Midlothian, Scotland

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2010年 / 60卷 / 02期

关键词：

Lagrangian fibrations; Symplectic topology; Completely integrable Hamiltonian systems; Chem class; Monodromy;

D O I：

10.1016/j.geomphys.2009.10.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define topological invariants of regular Lagrangian fibrations using the integral affine structure on the base space and we show that these coincide with the classes known from the literature. We also classify all symplectic types of Lagrangian fibrations with base RP2 x R and fixed monodromy representation, generalising a construction due to Bates (Bates (1988) [10]). (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：341 / 351

页数：11

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