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
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Almost Lagrangian obstruction
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
نویسندگان
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