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This question is pretty vague and open. I\'m just curious if anyone has consider

ID: 1381074 • Letter: T

Question

This question is pretty vague and open. I'm just curious if anyone has considered this.

Morse theory has a nice physical formulation: a Morse function can be thought of as a potential, so the gradient flow is the force experienced by a particle. The equilibria are the critical points of the potential. If we take a supersymmetric extension of this as a quantum theory, its ground state structure computes the homology of the space the particle moves in.

What can strings moving in a manifold subject to a potential tell us about the topology of the manifold?

Explanation / Answer

Properties of Riemannian, K

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