An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields

Details An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields

2011-12-01

arxiv.org/abs/1112.0290v2

Mathematics

Symplectic Geometry

28 pages; added an application

Scientific paper

For a closed oriented 3-manifold Y, we define an absolute grading on the Heegaard Floer homology groups of Y by homotopy classes of oriented 2-plane fields. We show that this absolute grading refines the relative one and that it is compatible with the maps induced by cobordisms. We also prove that if {\xi} is a contact structure on Y, then the grading of the contact invariant c({\xi}) is the homotopy class of {\xi}.

Affiliated with

Also associated with

No associations

Rating

An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields 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 An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-139132