Generating families and Legendrian contact homology in the standard contact space

Mathematics – Symplectic Geometry

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Revised version, to appear in Journal of Topology. Following referee suggestions, parts of sections 4 and 6 have been removed

Scientific paper

We show that if a Legendrian knot in standard contact ${\bb R}^3$ possesses a generating family then there exists an augmentation of the Chekanov-Eliashberg DGA so that the associated linearized contact homology (LCH) is isomorphic to singular homology groups arising from the generating family. In this setting we show Sabloff's duality result for LCH may be viewed as Alexander duality. In addition, we provide an explicit construction of a generating family for a front diagram with graded normal ruling and give a new approach to augmentation $\Rightarrow$ normal ruling.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Generating families and Legendrian contact homology in the standard contact space 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 Generating families and Legendrian contact homology in the standard contact space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generating families and Legendrian contact homology in the standard contact space will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-144659

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.