First Occurring Singularities of Functions in Symplectic Semi-Space

Published 20 Aug 2018 in math.SG | (1808.06525v1)

Abstract: We explain how a classical theorem by Arnol'd and Melrose on non-singular functions on a symplectic manifold with boundary can be proved in few lines, and we use the same method to obtain a new result, which is a normal form with functional invariants for the first occurring singularities

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