Generic behavior of asymptotically holomorphic Lefschetz pencils

Details Generic behavior of asymptotically holomorphic Lefschetz pencils Generic behavior of asymptotically holomorphic Lefschetz pencils

2002-10-21

arxiv.org/abs/math/0210325v2

Mathematics

Symplectic Geometry

Scientific paper

We study some asymptotic properties of the sequences of symplectic Lefschetz pencils constructed by Donaldson. In particular we prove that the vanishing spheres of these pencils are, for large degree, conjugated under the action of the symplectomorphism group of the fiber. This implies the non-existence of homologically trivial vanishing spheres in these pencils. Moreover we show some basic topological properties of the space of asymptotically holomorphic transverse sections. These properties allow us to define a new set of symplectic invariants of the original symplectic structure.

Affiliated with

Also associated with

No associations

Rating

Generic behavior of asymptotically holomorphic Lefschetz pencils 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 Generic behavior of asymptotically holomorphic Lefschetz pencils, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generic behavior of asymptotically holomorphic Lefschetz pencils will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-355670