کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8255712 1533713 2018 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Minimal models of compact symplectic semitoric manifolds
ترجمه فارسی عنوان
مدل های مینی فشرده کمپلکس های نیمه ماتریس جمع و جور
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی
A symplectic semitoric manifold is a symplectic 4-manifold endowed with a Hamiltonian (S1×R)-action satisfying certain conditions. The goal of this paper is to construct a new symplectic invariant of symplectic semitoric manifolds, the helix, and give applications. The helix is a symplectic analogue of the fan of a nonsingular complete toric variety in algebraic geometry, that takes into account the effects of the monodromy near focus-focus singularities. We give two applications of the helix: first, we use it to give a classification of the minimal models of symplectic semitoric manifolds, where “minimal” is in the sense of not admitting any blowdowns. The second application is an extension to the compact case of a well known result of VÅ© Ngọc about the constraints posed on a symplectic semitoric manifold by the existence of focus-focus singularities. The helix permits to translate a symplectic geometric problem into an algebraic problem, and the paper describes a method to solve this type of algebraic problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 125, February 2018, Pages 49-74
نویسندگان
, , ,