English

A note on the front spinning construction

Symplectic Geometry 2015-02-26 v4

Abstract

In this paper we introduce a notion of front S^m-spinning for Legendrian submanifolds of R^{2n+1}. It generalizes the notion of front S^1-spinning which was invented by Ekholm, Etnyre and Sullivan. We use it to prove that there are infinitely many pairs of exact Lagrangian cobordant and not pairwise Legendrian isotopic Legendrian S^1 x S^{i_1} x ... x S^{i_k} in the standard contact Euclidean space which have the same classical invariants if one of i_j's is odd.

Keywords

Cite

@article{arxiv.1210.8140,
  title  = {A note on the front spinning construction},
  author = {Roman Golovko},
  journal= {arXiv preprint arXiv:1210.8140},
  year   = {2015}
}

Comments

12 pages, 1 figure; some minor changes. This version has been accepted for publication in the the Bulletin of the London Mathematical Society

R2 v1 2026-06-21T22:30:21.064Z