4 citations · 11 across the 11 of their papers we have counts for
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math.AG2018
The Milnor-Palamodov Theorem for Functions on Isolated Hypersurface Singularities
Konstantinos Kourliouros
In this note we give a simple proof of the following relative analog of the well known Milnor-Palamodov theorem: the Bruce-Roberts number of a function relative to an isolated hype…
math.SG2018★ 4 cited
Local Diffeomorphisms in Symplectic Space and Hamiltonian Systems with Constraints
Konstantinos Kourliouros
In this paper we obtain exact normal forms with functional invariants for local diffeomorphisms, under the action of the symplectomorphism group in the source space. Using these no…
math.SG2018★ 2 cited
First Occurring Singularities of Functions in Symplectic Semi-Space
Konstantinos Kourliouros, Michail Zhitomirskii
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…