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arXiv · 1001.3351

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

Wojciech Domitrz·Żaneta Trȩbska
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Abstract

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.

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Wojciech Domitrz, Żaneta Trȩbska. 2011-05-02. Symplectic $T_7$, $T_8$ singularities and Lagrangian tangency orders. https://doi.org/10.1017/s0013091510001124

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