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Classification of simple multigerms of curves in the contact space
Author(s):
P.
A.
Kolgushkin
Translated by:
N. Yu. Netsvetaev
Original publication:
Algebra i Analiz,
tom 18
(2006),
nomer 2.
Journal:
St. Petersburg Math. J.
18
(2007),
241-267.
MSC (2000):
Primary 58K40
Posted:
March 19, 2007
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Abstract:
Stably simple singularities of curves (both reducible and irreducible) in the contact complex space are classified up to formal stable contact equivalence.The classification widens the one obtained by V. I. Arnold in 1999 for the simple contact space singularities that are  -equivalent to the singularity  (a semicubical parabola). The proofs involve the homotopy method and the Darboux-Givental theorem on contact structures.
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Additional Information:
P.
A.
Kolgushkin
Affiliation:
Mechanics and Mathematics Department, Moscow State University, Moscow 119899, Russia
Email:
kolgush@mccme.ru
DOI:
10.1090/S1061-0022-07-00950-8
PII:
S 1061-0022(07)00950-8
Keywords:
Contact structure,
contact diffeomorphism,
multigerm,
stably simple singularity
Received by editor(s):
10/MAR/2005
Posted:
March 19, 2007
Additional Notes:
Partially supported by RFBR (grant no. 01-04-00762) and by grant NSh-1972.2003.1
Copyright of article:
Copyright
2007,
American Mathematical Society
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