LERF and the Lubotzky-Sarnak conjecture

التفاصيل البيبلوغرافية
العنوان: LERF and the Lubotzky-Sarnak conjecture
المؤلفون: Lackenby, M., Long, D. D., Reid, A. W.
سنة النشر: 2008
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Geometric Topology, Mathematics - Differential Geometry, 57N10, 57M10
الوصف: We prove that every closed hyperbolic 3-manifold has a family of (possibly infinite sheeted) coverings with the property that the Cheeger constants in the family tend to zero. This is used to show that, if in addition the fundamental group of the manifold is LERF, then it satisfies the Lubotzky-Sarnak conjecture.
Comment: 9 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/0804.1305
رقم الأكسشن: edsarx.0804.1305
قاعدة البيانات: arXiv