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Results tagged with morse-theory
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user 20516
In differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold.
6
votes
3
answers
881
views
Reference request: embedded Morse theory
For references of embedded Morse theory, or so-called relative morse theory of a pair, I have found R.W. Sharpe's "Total Absolute Curvature and Embedded Morse numbers" totally not helpful. For further …
- 2,274
5
votes
Next steps for a Morse theory enthusiast?
Next steps:
(0) (Relative Morse Theory) Geoffrey Mess' paper "Torelli groups of genus two and three surfaces" studies some relative Morse theory of the Abel-Jacobi period locus in the Siegel upper ha …
4
votes
Self-indexing Morse functions on non-compact manifolds
On non-compact manifolds I think one must accept that proper Morse functions carry far less topological data than their analogous brethren on compact manifolds.
A silly illustration: let $N$ be a co …
- 2,274