Legendrian knots and monopoles

Details Legendrian knots and monopoles Legendrian knots and monopoles

2004-10-26

arxiv.org/abs/math/0410559v6

Algebr. Geom. Topol. 6 (2006) 1-69

Mathematics

Differential Geometry

This is the version published by Algebraic & Geometric Topology on 24 February 2006

Scientific paper

10.2140/agt.2006.6.1

We prove a generalization of Bennequin's inequality for Legendrian knots in a 3-dimensional contact manifold (Y,xi), under the assumption that Y is the boundary of a 4-dimensional manifold M and the version of Seiberg-Witten invariants introduced by Kronheimer and Mrowka [Invent. Math. 130 (1997) 209-255] is nonvanishing. The proof requires an excision result for Seiberg-Witten moduli spaces; then the Bennequin inequality becomes a special case of the adjunction inequality for surfaces lying inside M.

Affiliated with

Also associated with

No associations

Rating

Legendrian knots and monopoles 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 Legendrian knots and monopoles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Legendrian knots and monopoles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-498741