Mathematics – Symplectic Geometry
Scientific paper
2010-01-19
Mathematics
Symplectic Geometry
Scientific paper
We study the local symplectic algebra of curves. We use the method of algebraic restrictions to classify symplectic $T_7$ 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, $S_5$ singularity and $T_7$ singularity. We also give the geometric description of these symplectic singularities.
Domitrz Wojciech
Trebska Zaneta
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