Simple Coisotropic Caustics

V. M. Zakalyukin

Moscow Aviation Institute

Abstract: A complete proof of local classifications up to symplectomorphisms of simple stable pairs consisting of a Lagrangian submanifold and a coisotropic fibration is presented. This generalization of Arnold's classification of simple Lagrangian projections provides all discriminants of $A$, $B$, $C$, $D$, $E$, and F Weil groups.

UDC: 514.16

 English version: Journal of Mathematical Sciences, 2004, 124:5, 5310–5320

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