کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4582511 1333817 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Open book decompositions and stable Hamiltonian structures
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Open book decompositions and stable Hamiltonian structures
چکیده انگلیسی

We show that every open book decomposition of a contact 3-manifold can be represented (up to isotopy) by a smooth RR-invariant family of pseudoholomorphic curves on its symplectization with respect to a suitable stable Hamiltonian structure. In the planar case, this family survives small perturbations, and thus gives a concrete construction of a stable finite energy foliation that has been used in various applications to planar contact manifolds, including the Weinstein conjecture (Abbas et al., 2005) [2] and the equivalence of strong and Stein fillability (Wendl, to appear) [20].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 28, Issue 2, 2010, Pages 187–199
نویسندگان
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