Cosmetic surgery in L–space homology spheres
نویسندگان
چکیده
منابع مشابه
Cosmetic surgery in L–space homology spheres
In particular, let K be a framed knot in a closed oriented three-manifold Y . For a rational number r , let Yr .K/ be the manifold obtained by Dehn surgery along K with slope r . Two surgeries along K with distinct slopes r and r 0 are called equivalent if there exists an orientation-preserving homeomorphism of the complement of K taking one slope to the other; and they are called truly cosmeti...
متن کاملHomology lens spaces and Dehn surgery on homology spheres
A homology lens space is a closed 3-manifold with Z-homology groups isomorphic to those of a lens space. A useful theorem found in [Fu] states that a homology lens space M3 may be obtained by an (n/1)-Dehn surgery on a homology 3-sphere if and only if the linking form of M3 is equivalent to (1/n). In this note we generalize this result to cover all homology lens spaces, and in the process offer...
متن کاملSuspensions of homology spheres
This article is one of three highly influential articles on the topology of manifolds written by Robert D. Edwards in the 1970’s but never published. This article “Suspensions of homology spheres” presents the initial solutions of the fabled Double Suspension Conjecture. The article “Approximating certain cell-like maps by homeomorphisms” presents the definitive theorem on the recognition of ma...
متن کاملThoroughly Knotted Homology Spheres
For H n a homology n-sphere, consider the problem of classifying locally flat imbeddings H n•'-• S n+2 up to isotopy. Since any imbedding may be altered by adding knots S n• S n+2, the classification problem is at least as complex as the isotopy classification of knots. Elsewhere [8] we show that there is a natural correspondence between k ot heory and the classification of those imbeddings H n...
متن کاملRational Homology 7-Spheres
In this paper we demonstrate the existence of Sasakian-Einstein structures on certain 2-connected rational homology 7-spheres. These appear to be the first non-regular examples of Sasakian-Einstein metrics on simply connected rational homology spheres. We also briefly describe the rational homology 7-spheres that admit regular positive Sasakian structures.
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: Geometry & Topology
سال: 2011
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2011.15.1157