Nonisotopic Symplectic Tori in the Fiber Class of Elliptic Surfaces

Details Nonisotopic Symplectic Tori in the Fiber Class of Elliptic Surfaces Nonisotopic Symplectic Tori in the Fiber Class of Elliptic Surfaces

2004-01-30

arxiv.org/abs/math/0402001v1

J. Symplectic Geom. 2 (2004)

Mathematics

Geometric Topology

12 pages, 3 figures. To appear in J. Symplectic Geom

Scientific paper

The purpose of this note is to present a construction of an infinite family of symplectic tori T_{p} representing an arbitrary multiple of the homology class of the fiber of an elliptic surface E(n), for n > 2, such that, for i \neq j, there is no orientation-preserving diffeomorphism between (E(n),T_{i}) and (E(n),T_{j}). In particular, these tori are mutually nonisotopic. This complements previous results of Fintushel and Stern, showing in particular the existence of such phenomenon for a primitive class.

Affiliated with

Also associated with

No associations

Rating

Nonisotopic Symplectic Tori in the Fiber Class of Elliptic Surfaces 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 Nonisotopic Symplectic Tori in the Fiber Class of Elliptic Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonisotopic Symplectic Tori in the Fiber Class of Elliptic Surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-394969