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Comparative index and Hörmander index in finite dimension and their connections

Comparative index and Hörmander index in finite dimension and their connections

In this paper we prove new relations between the comparative index and the H?rmander index (and the Maslov index) in the finite dimensional case. As a main result we derive an algebraic formula for calculating the H?rmander index of four given Lagrangian planes as a difference of two comparative indices …