Morse theory without nondegeneracy

Frances Kirwan; Geoffrey Penington

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Morse theory without nondegeneracy

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arxiv 1906.10804 v2 pith:TZ7ZOMPR submitted 2019-06-26 math.DG hep-thmath.AT

Frances Kirwan , Geoffrey Penington This is my paper · ORCID

classification math.DGhep-thmath.AT

keywords morsenondegeneracytheorywithoutassumptionscompactcomponentsconnected

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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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