Homology class of a Lagrangian Klein bottle

Details Homology class of a Lagrangian Klein bottle Homology class of a Lagrangian Klein bottle

2001-06-14

arxiv.org/abs/math/0106122v4

Izv. Math. 73:4 (2009), 689-698.

Mathematics

Symplectic Geometry

Version 3 - completely rewritten to correct a mistake; Version 4 - minor edits, added references; AMSLaTeX, 6 pages

Scientific paper

10.1070/IM2009v073n04ABEH002462

It is shown that an embedded Lagrangian Klein bottle represents a non-trivial mod 2 homology class in a compact symplectic four-manifold $(X,\omega)$ with $c_1(X)\cdot[\omega]>0$. (In versions 1 and 2, the last assumption was missing. A counterexample to this general claim and the first proof of the corrected result have been found by Vsevolod Shevchishin.) As a corollary one obtains that the Klein bottle does not admit a Lagrangian embedding into the standard symplectic four-space.

Affiliated with

Also associated with

No associations

Rating

Homology class of a Lagrangian Klein bottle 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 Homology class of a Lagrangian Klein bottle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homology class of a Lagrangian Klein bottle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-275940