کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4667856 1345483 2007 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Examples of non-Kähler Hamiltonian circle manifolds with the strong Lefschetz property
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Examples of non-Kähler Hamiltonian circle manifolds with the strong Lefschetz property
چکیده انگلیسی

In this paper we construct six-dimensional compact non-Kähler Hamiltonian circle manifolds which satisfy the strong Lefschetz property themselves but nevertheless have a non-Lefschetz symplectic quotient. This provides the first known counterexamples to the question whether the strong Lefschetz property descends to the symplectic quotient. We also give examples of Hamiltonian strong Lefschetz circle manifolds which have a non-Lefschetz fixed point submanifold. In addition, we establish a sufficient and necessary condition for a finitely presentable group to be the fundamental group of a strong Lefschetz manifold. We then use it to show the existence of Lefschetz four-manifolds with non-Lefschetz finite covering spaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 208, Issue 2, 30 January 2007, Pages 699-709