Symplectic T₇, T₈ singularities and Lagrangian tangency orders

2010/01/31 by Wojciech Domitrz, Żaneta Trȩbska · 1 citation
Mathematics · #math.SG #math.DG #msc:53D05. #msc:14H20 #msc:58K50 #msc:58A10

paper · pdf · doi:10.1017/s0013091510001124

published as Proceedings of the Edinburgh Mathematical Society (2012) 55, 657-683

arxiv created 2011/05/02 · arxiv updated 2012/11/07

Abstract

We study the local symplectic algebra of curves. We use the method of algebraic restrictions to classify symplectic T₇ singularities. We define discrete symplectic invariants - the Lagrangian tangency orders. We use these invariants to distinguish symplectic singularities of classical A-D-E singularities of planar curves, S₅ singularity and T₇ singularity. We also give the geometric description of these symplectic singularities.

Cited by

• Symplectic U₇, U₈ and U₉ singularities