×

Bifurcations in symplectic space. (English) Zbl 1149.37316

Janeczko, Stanisław (ed.) et al., Geometry and topology of caustics — Caustics ’06. Proceedings of the 3rd Banach Center symposium, Warsaw, Poland, June 19–30, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 82, 111-124 (2008).
Summary: We take new steps in the theory of symplectic and isotropic bifurcations, by solving the classification problem under a natural equivalence in several typical cases. Moreover we define the notion of coisotropic varieties and formulate also the coisotropic bifurcation problem. We consider several symplectic invariants of isotropic and coisotropic varieties, providing illustrative examples in the simplest nontrivial cases.
For the entire collection see [Zbl 1147.58001].

MSC:

37J20 Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems
58K05 Critical points of functions and mappings on manifolds
58K60 Deformation of singularities
13C14 Cohen-Macaulay modules
PDFBibTeX XMLCite
Full Text: Link