English

Exact Lagrangians in $A_n$-surface singularities

Symplectic Geometry 2013-05-28 v2

Abstract

In this paper we classify Lagrangian spheres in AnA_n-surface singularities up to Hamiltonian isotopy. Combining with a result of A. Ritter, this yields a complete classification of exact Lagrangians in AnA_n-surface singularities.

Keywords

Cite

@article{arxiv.1302.1598,
  title  = {Exact Lagrangians in $A_n$-surface singularities},
  author = {Weiwei Wu},
  journal= {arXiv preprint arXiv:1302.1598},
  year   = {2013}
}

Comments

Modified proof of Lemma 4.3 due to a simplification of relative inflation from http://arxiv.org/abs/1305.0230. Expanded discussion on ball-swapping, with an emphasis on the comparison with the algebro-geometric point of view. Comments welcomed

R2 v1 2026-06-21T23:22:15.915Z