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First Steps of Local Contact Algebra

Arnold, Vladimir (1999), First Steps of Local Contact Algebra, Canadian Journal of Mathematics, 51, p. 1123-1134. http://dx.doi.org/10.4153/CJM-1999-049-9

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Type
Article accepté pour publication ou publié
Date
1999
Journal name
Canadian Journal of Mathematics
Volume
51
Publisher
Canadian Mathematical Society
Pages
1123-1134
Publication identifier
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Author(s)
Arnold, Vladimir
Abstract (EN)
We consider germs of mappings of a line to contact space and classify the first simple singularities up to the action of contactomorphisms in the target space and diffeomorphisms of the line. Even in these first cases there arises a new interesting interaction of local commutative algebra with contact structure.
Subjects / Keywords
Contact manifolds; Local contact algebra; Diracian; Contactian