کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606179 | 1337687 | 2011 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Almost Lagrangian obstruction
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
The aim of this paper is to describe the obstruction for an almost Lagrangian fibration to be Lagrangian, a problem which is central to the classification of Lagrangian fibrations and, more generally, to understanding the obstructions to carry out surgery of integrable systems, an idea introduced in Zung (2003) [16]. It is shown that this obstruction (namely, the homomorphism DD of Dazord and Delzant (1987) [4] and Zung (2003) [16]) is related to the cup product in cohomology with local coefficients on the base space B of the fibration. The map is described explicitly and some explicit examples are calculated, thus providing the first examples of non-trivial Lagrangian obstructions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 29, Issue 6, December 2011, Pages 787–800
Journal: Differential Geometry and its Applications - Volume 29, Issue 6, December 2011, Pages 787–800
نویسندگان
Daniele Sepe,