Thin Lens Spaces
نویسندگان
چکیده
منابع مشابه
Fake lens spaces *
A fake lens space is an orbit space of a free action of a finite cyclic group on a sphere and as such it is a generalization of a classical lens space. The invariants of fake lens spaces described here are their homotopy groups, homology groups, a certain k-invariant, the Reidemeister torsion, the ρ-invariant and certain splitting invariants. We survey the classification of fake lens spaces whi...
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We determine the non-null homologous knots in lens spaces whose exteriors contain properly embedded once-punctured tori. All such knots arise as surgeries on the Whitehead link and are grid number 1 in their lens spaces. As a corollary, we classify once-punctured torus bundles that admit a lens space filling.
متن کاملContact Geometry and Lens Spaces
There exists a canonical symplectic structure on the cotangent bundle of a differentiable manifold and similarly a canonical contact structure on the positive projectivization of the cotangent bundle under the scaling R action. Given a Riemannian (or Finsler) metric on the original manifold, this contact structure is contactomorphic to the contact structure determined by the metric on the unit ...
متن کاملCobordisms of Homotopy Lens Spaces
We show that any 3-dimensional homotopy lens space M that is simple-homotopy equivalent to a lens space L(p, q) is s-cobordal to this lens space. It follows that M has the same multi-signature as L(p, q) and the action of Z/pZ on the universal cover of M embeds in an orthogonal action on S. We study here 3-dimensional manifolds that have a finite cyclic fundamental group. All such manifolds are...
متن کاملD-branes in Lens Spaces
We realize the CFT with target a lens space SU(2)/Zl as a simple current construction. This allows us to compute the boundary states and the annuli coefficients, and in particular to study the B-type branes, in purely algebraic terms. Several issues, like the appearance of fractional branes and symmetry breaking boundary conditions, can be addressed more directly in this approach than in a more...
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 1978
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-1978-006-3