Symplectic T7, T8 singularities and Lagrangian tangency orders

Author:

Domitrz Wojciech,Trȩbska Żaneta

Abstract

AbstractWe study the local symplectic algebra of curves. We use the method of algebraic restrictions to classify symplectic T7, T8 singularities. We define discrete symplectic invariants (the Lagrangian tangency orders) and compare them with the index of isotropy. We use these invariants to distinguish symplectic singularities of classical T7 singularity. We also give the geometric description of symplectic classes of the singularity.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Order of Tangency Between Manifolds;Springer Proceedings in Mathematics & Statistics;2020

2. Symplectic Singularity of Curves with Semigroups (4, 5, 6, 7), (4, 5, 6) and (4, 5, 7);Bulletin of the Brazilian Mathematical Society, New Series;2018-07-23

3. Classification of transversal Lagrangian stars;Topology and its Applications;2018-02

4. Symplectic U7,U8 and U9 Singularities;Demonstratio Mathematica;2015-06-01

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