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Hamiltonian systems, symplectic flows, classical integrable systems

29 votes
1 answer
2k views

High-Dimensional Analogs of Polygon Spaces

[Edit: I had a mistake in the numerology (took d=6,5 instead of d=5,4). Edit: I mistakenly identified my mistake, it is 6,5 but I got the indices shifted by one.] Background: Polygon spaces Given a po …
Gil Kalai's user avatar
  • 24.7k
71 votes
10 answers
11k views

The Planck constant for mathematicians

The questions Q1. What are simple ways to think mathematically about the physical meanings of the Planck constant? Q2. How does the Planck constant appear in mathematics of quantum mechanics? In parti …
Gil Kalai's user avatar
  • 24.7k