Commensurability and virtual fibration for graph manifolds
نویسندگان
چکیده
منابع مشابه
Commensurability and virtual fibration for graph manifolds
Two manifolds are commensurable if they have diffeomorphic covers. We would like invariants that distinguish manifolds up to commensurability. A collection of such commensurability invariants is complete if it always distinguishes non-commensurable manifolds. Commensurability invariants of hyperbolic 3-manifolds are discussed in [NRe]. The two main ones are the invariant trace field and the inv...
متن کاملCommensurability of hyperbolic manifolds with geodesic boundary
Suppose n > 3, let M1,M2 be n-dimensional connected complete finitevolume hyperbolic manifolds with non-empty geodesic boundary, and suppose that π1(M1) is quasi-isometric to π1(M2) (with respect to the word metric). Also suppose that if n = 3, then ∂M1 and ∂M2 are compact. We show that M1 is commensurable with M2. Moreover, we show that there exist homotopically equivalent hyperbolic 3-manifol...
متن کاملVirtual Cubulation of Nonpositively Curved Graph Manifolds
In this paper, we show that an aspherical compact graph manifold is nonpositively curved if and only if its fundamental group virtually embeds into a right-angled Artin group. As a consequence, nonpositively curved graph manifolds have linear fundamental groups.
متن کاملGeodesics and commensurability classes of arithmetic hyperbolic 3-manifolds
This sharpens [10], where it was shown that the complex length spectrum of M determines its commensurability class. Suppose M ′ is an arithmetic hyperbolic 3-manifold which is not commensurable to M . Theorem 1.1 implies QL(M) 6= QL(M ′), though by Example 2.1 below it is possible that one of QL(M ′) or QL(M) contains the other. By the length formulas recalled in §2.1 and §2.2, each element of ...
متن کاملZariski F-decomposition and Lagrangian Fibration on Hyperkähler Manifolds
For a compact HyperKähler manifold X , we show certain Zariski decomposition for every pseudo-effective R-divisor, and give a sufficient condition for X to be bimeromorphic to a Lagrangian fibration.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology
سال: 1997
ISSN: 0040-9383
DOI: 10.1016/0040-9383(96)00014-6