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Revisiting Arnold's topological proof of the Morse index theorem

Author:
Eduardo V. Sodré
Keyword:
Mathematics, Differential Geometry, Differential Geometry (math.DG)
journal:
--
date:
2023-07-01 16:00:00
Abstract
We give an exposition of the Morse Index Theorem in the Riemannian case in terms of the Maslov index, following and expanding upon Arnold's seminal paper. We emphasize the symplectic arguments in the proof and aim to be as self-contained as possible.
PDF: Revisiting Arnold's topological proof of the Morse index theorem.pdf
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