Morse Theory without Non-Degeneracy-Reference-Cited by-同舟云学术

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Morse Theory without Non-Degeneracy

Published:2021-01-08 Issue:1-2 Volume:72 Page:455-514
ISSN:0033-5606
Container-title:The Quarterly Journal of Mathematics
language:en
Short-container-title:

Author:

Kirwan Frances¹,Penington Geoffrey²

Affiliation:

1. Mathematical Institute, Oxford University, Woodstock Road, Oxford OX2 6GG, UK

2. Department of Physics, University of California, Berkeley, CA 94720-7300, USA

Abstract

Abstract We 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.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/qjmath/article-pdf/72/1-2/455/38610780/haaa064.pdf

Reference80 articles.

1. Morse homology and manifolds with boundary;Akaho;Commun. Contemp. Math.,2007

2. The Yang-Mills Equations over Riemann Surfaces;Atiyah;Phil. Trans. Royal Soc. Series A,1983

3. Morse Theory and Floer Homology

4. Morse-Bott theory and equivariant cohomology

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1. Reeb spaces of smooth functions on manifolds II;Research in the Mathematical Sciences;2024-03-14

2. Topological Inference of the Conley Index;Journal of Dynamics and Differential Equations;2023-09-23

3. Principal Components Along Quiver Representations;Foundations of Computational Mathematics;2022-04-29

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