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arXiv · 1811.02776

On an Extension of the Mean Index to a large subset of Linear Canonical Relations

Yusuf Gören·Matthew Grace
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Abstract

In this paper, viewing the symplectic linear group as a subset of the Lagrangian Grassmannian we extend the mean index to the complement of a codimension-two subset of the Grassmannian. This extension retains many of the desirable properties of the mean index, the most significant of which are continuity and a homogeneity condition adapted to the set-theoretic composition of canonical relations.

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Yusuf Gören, Matthew Grace. 2018-11-07. On an Extension of the Mean Index to a large subset of Linear Canonical Relations. https://arxiv.org/abs/1811.02776

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