Symplectic classification of parametric complex plane curves

Goo Ishikawa, and Stanisław Janeczko. "Symplectic classification of parametric complex plane curves." Annales Polonici Mathematici 99.3 (2010): 263-284. <http://eudml.org/doc/280671>.

@article{GooIshikawa2010,
abstract = {Based on the discovery that the δ-invariant is the symplectic codimension of a parametric plane curve singularity, we classify the simple and uni-modal singularities of parametric plane curves under symplectic equivalence. A new symplectic deformation theory of curve singularities is established, and the corresponding cyclic symplectic moduli spaces are reconstructed as canonical ambient spaces for the diffeomorphism moduli spaces which are no longer Hausdorff spaces.},
author = {Goo Ishikawa, Stanisław Janeczko},
journal = {Annales Polonici Mathematici},
keywords = {symplectomorphism; moduli space; cyclic quotient singularity; Puiseaux characteristic; symplectic rigidity},
language = {eng},
number = {3},
pages = {263-284},
title = {Symplectic classification of parametric complex plane curves},
url = {http://eudml.org/doc/280671},
volume = {99},
year = {2010},
}

TY - JOUR
AU - Goo Ishikawa
AU - Stanisław Janeczko
TI - Symplectic classification of parametric complex plane curves
JO - Annales Polonici Mathematici
PY - 2010
VL - 99
IS - 3
SP - 263
EP - 284
AB - Based on the discovery that the δ-invariant is the symplectic codimension of a parametric plane curve singularity, we classify the simple and uni-modal singularities of parametric plane curves under symplectic equivalence. A new symplectic deformation theory of curve singularities is established, and the corresponding cyclic symplectic moduli spaces are reconstructed as canonical ambient spaces for the diffeomorphism moduli spaces which are no longer Hausdorff spaces.
LA - eng
KW - symplectomorphism; moduli space; cyclic quotient singularity; Puiseaux characteristic; symplectic rigidity
UR - http://eudml.org/doc/280671
ER -