Morse Theory without Non-Degeneracy

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Research 08 Jan 2021Embargo end date: 01 Jan 2019 United Kingdom English Publisher:Oxford University Press (OUP)Journal:The Quarterly Journal of Mathematics, volume 72, pages 455-514 (issn: 0033-5606, eissn: 1464-3847,

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Authors: Kirwan, F; Penington, G;

doi: 10.1093/qmath/haaa064 , 10.48550/arxiv.1906.10804

arXiv: 1906.10804

Morse Theory without Non-Degeneracy

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Abstract

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

Country

United Kingdom

Related Organizations

University of California, Berkeley
United States
University of Oxford
United Kingdom

Keywords

Mathematics - Differential Geometry, High Energy Physics - Theory, Differential Geometry (math.DG), High Energy Physics - Theory (hep-th), FOS: Mathematics, Algebraic Topology (math.AT), FOS: Physical sciences, Mathematics - Algebraic Topology

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