Equivariant framings, lens spaces and Contact structures

Details Equivariant framings, lens spaces and Contact structures Equivariant framings, lens spaces and Contact structures

2001-03-27

arxiv.org/abs/math/0103183v2

Mathematics

Geometric Topology

10 pages, to appear in the Pacific Journal of Mathematics

Scientific paper

We construct a simple topological invariant of certain 3-manifolds, including quotients of the 3-sphere by finite groups, based on the fact that the tangent bundle of an orientable 3-manifold is trivialisable. This invariant is strong enough to yield the classification of lens spaces of odd, prime order. We also use properties of this invariant to show that there is an oriented 3-manifold with no universally tight contact structure. We generalise and sharpen this invariant to an invariant of a finite covering of a 3-manifold.

Affiliated with

Also associated with

No associations

Rating

Equivariant framings, lens spaces and Contact structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Equivariant framings, lens spaces and Contact structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivariant framings, lens spaces and Contact structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-28452