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arXiv · 1906.10804

Morse theory without nondegeneracy

Frances Kirwan·Geoffrey Penington
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Abstract

We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any nondegeneracy assumptions except that the critical locus must have only finitely many connected components.

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Frances Kirwan, Geoffrey Penington. 2019-06-26. Morse theory without nondegeneracy. https://arxiv.org/abs/1906.10804

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