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Results tagged with morse-theory
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user 391
In differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold.
2
votes
Is there a bound on the length of the longest Morse trajectory?
If everything in sight is real-analytic you can use Łojasiewicz's results to bound the Morse trajectories. See e.g. Andrzej Lenarcik, On the Lojasiewicz exponent of the gradient of a polynomial functi …
- 27.9k
11
votes
Yang-Mills and Chern-Simons functionals as Morse functions
There's a generalization of Morse-Bott called Morse-Bott-Kirwan
that you can read about in Kirwan's book. Basically this condition
guarantees that the unstable sets are manifolds, but not the stable …
- 27.9k