Loose Legendrian Embeddings in High Dimensional Contact Manifolds

Details Loose Legendrian Embeddings in High Dimensional Contact Manifolds Loose Legendrian Embeddings in High Dimensional Contact Manifolds

2012-01-11

arxiv.org/abs/1201.2245v2

Mathematics

Symplectic Geometry

25 pages, 8 figures. Comments very welcome

Scientific paper

We give an h-principle type result for a class of Legendrian embeddings in contact manifolds of dimension at least 5. These Legendrians, referred to as loose, have trivial pseudo-holomorphic invariants. We demonstrate they are classified up to ambient contact isotopy by smooth embedding class equipped with an almost complex framing. This result is inherently high dimensional: analogous results in dimension 3 are false.

Affiliated with

Also associated with

No associations

Rating

Loose Legendrian Embeddings in High Dimensional Contact Manifolds 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 Loose Legendrian Embeddings in High Dimensional Contact Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Loose Legendrian Embeddings in High Dimensional Contact Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-603646