Contact homology of good toric contact manifolds

Details Contact homology of good toric contact manifolds Contact homology of good toric contact manifolds

2010-05-20

arxiv.org/abs/1005.3787v3

Mathematics

Symplectic Geometry

30 pages. Version 2: minor corrections, improved exposition and expanded subsection 6.2 (see Remark 1.5). Version 3: minor cor

Scientific paper

In this paper we show that any good toric contact manifold has well defined cylindrical contact homology and describe how it can be combinatorially computed from the associated moment cone. As an application we compute the cylindrical contact homology of a particularly nice family of examples that appear in the work of Gauntlett-Martelli-Sparks-Waldram on Sasaki-Einstein metrics. We show in particular that these give rise to a new infinite family of non-equivalent contact structures on $S^2 \times S^{3}$ in the unique homotopy class of almost contact structures with vanishing first Chern class.

Affiliated with

Also associated with

No associations

Rating

Contact homology of good toric 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 Contact homology of good toric contact manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Contact homology of good toric contact manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-211665