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math-ph2013
Maxwell's Equations, The Euler Index and Morse Theory
Carlos Valero
We show show that the singularities of the Fresnel surface for Maxwell's equation on an anisotrpic material can be accounted from purely topological considerations. The importance…
math-ph2013
First Order Symbols on Surfaces and their multiplicity sets
Carlos Valero
We study the multiplicity sets of first order symbols associated with differential operators on two dimensional surfaces. This work is inspired by the phenomenon of conical refract…