Morse theory without nondegeneracy

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.

Manylion Llyfryddiaeth
Prif Awduron:	Kirwan, F, Penington, G
Fformat:	Working paper
Iaith:	English
Cyhoeddwyd:	University of Oxford 2020

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gan: Milnor, John Willard, 1931-
Cyhoeddwyd: (1969)

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gan: Kirwan, F
Cyhoeddwyd: (2020)

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gan: Yerolemou, N, et al.
Cyhoeddwyd: (2024)

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gan: Nanda, V
Cyhoeddwyd: (2018)

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gan: D. Fernández-Ternero, et al.
Cyhoeddwyd: (2022-06-01)

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Cyhoeddwyd: (2007)

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gan: Nanda, V, et al.
Cyhoeddwyd: (2018)

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Cyhoeddwyd: (2015-01-01)

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gan: Woodhouse, N
Cyhoeddwyd: (1976)

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gan: Mischaikow, K, et al.
Cyhoeddwyd: (2013)

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gan: Curry, J, et al.
Cyhoeddwyd: (2015)

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gan: Zhanping Liang, et al.
Cyhoeddwyd: (2017-07-01)

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gan: Vieri Benci, et al.
Cyhoeddwyd: (2015-07-01)

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Cyhoeddwyd: (2006-09-01)

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Cyhoeddwyd: (1895-01-01)

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gan: Styborski Marcin
Cyhoeddwyd: (2012-12-01)

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Cyhoeddwyd: (2004)

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gan: 457379 Dexter, Colin
Cyhoeddwyd: (1994)

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gan: Cordes, M, et al.
Cyhoeddwyd: (2017)

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Cyhoeddwyd: (2019-03-01)

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Cyhoeddwyd: (2022-04-01)

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Cyhoeddwyd: (2022-03-01)

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Cyhoeddwyd: (2006-07-01)

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gan: Berghoff, M
Cyhoeddwyd: (2020)

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Cyhoeddwyd: (2023)

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Cyhoeddwyd: (2002)

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Cyhoeddwyd: (2011-10-01)

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Cyhoeddwyd: (2008-01-01)

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Cyhoeddwyd: (2024)