English

Symplectic $T_7$, $T_8$ singularities and Lagrangian tangency orders

Symplectic Geometry 2012-11-07 v3 Differential Geometry

Abstract

We study the local symplectic algebra of curves. We use the method of algebraic restrictions to classify symplectic T7T_7 singularities. We define discrete symplectic invariants - the Lagrangian tangency orders. We use these invariants to distinguish symplectic singularities of classical ADEA-D-E singularities of planar curves, S5S_5 singularity and T7T_7 singularity. We also give the geometric description of these symplectic singularities.

Keywords

Cite

@article{arxiv.1001.3351,
  title  = {Symplectic $T_7$, $T_8$ singularities and Lagrangian tangency orders},
  author = {Wojciech Domitrz and Żaneta Trȩbska},
  journal= {arXiv preprint arXiv:1001.3351},
  year   = {2012}
}