English

Exact Lagrangian cobordism and pseudo-isotopy

Symplectic Geometry 2014-12-03 v1

Abstract

We show that under some topological assumptions, an exact Lagrangian cobordism (W;L0,L1)(W; L_{0}, L_{1}) of dimension dim(W)>5dim(W) >5 is a Lagrangian pseudo-isotopy. This result is a weaker form of a conjecture proposed by Biran and Cornea, which states that any exact Lagrangian cobordism is Hamiltonian isotopic to a Lagrangian suspension.

Keywords

Cite

@article{arxiv.1412.0697,
  title  = {Exact Lagrangian cobordism and pseudo-isotopy},
  author = {Lara Simone Suárez},
  journal= {arXiv preprint arXiv:1412.0697},
  year   = {2014}
}