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- TL;DR Summary
- https://www.youtube.com/watch?v=bdASx74y7oI&list=PL7aXC0jU4Qk7K778c5nmgQImd6VKKFMYu&index=9&ab_channel=KRaviteja

1:03:00

Hirosi claims that the hamiltonian hibert space corresponds to the cohomology on the manifold. I don't understand why

Hello,

I have been looking at some differential geometry and watching Hirosi's video lecture online:

At 1:03:00, I found that they claimed that there is a correspondence between the Hibert space of the symmetric Hamiltonian and the cohomology of the manifold.

I am super new to the subject and this is the best I can describe the problem. Would anyone explain to me why that correspondence is true?

If possible, can anyone point me to some lecture videos that explain in more details and clearer? I feel like Hirosi is teaching too fast for me.

(I know Nakahara is an excellent reference, but I am still finding for more resources.)

I have been looking at some differential geometry and watching Hirosi's video lecture online:

At 1:03:00, I found that they claimed that there is a correspondence between the Hibert space of the symmetric Hamiltonian and the cohomology of the manifold.

I am super new to the subject and this is the best I can describe the problem. Would anyone explain to me why that correspondence is true?

If possible, can anyone point me to some lecture videos that explain in more details and clearer? I feel like Hirosi is teaching too fast for me.

(I know Nakahara is an excellent reference, but I am still finding for more resources.)