Timeline for On the de Rham cohomology of 1-forms in cotangent bundle.
Current License: CC BY-SA 3.0
6 events
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Jan 12, 2013 at 1:31 | history | edited | Peter Michor | CC BY-SA 3.0 |
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Jan 11, 2013 at 17:35 | vote | accept | Mathboy | ||
Jan 11, 2013 at 17:46 | |||||
Jan 11, 2013 at 8:57 | comment | added | Mathboy | Yes, I think if one moves $X$ by a Hamiltonian flow to $Y$, then the integral will be kept and so is the cohomology class. | |
Jan 11, 2013 at 1:05 | comment | added | Mike Usher | In your example on $S^1$, note that the vertical translation on the cylinder is a symplectic isotopy but is not Hamiltonian (i.e. is not given by the flow of the Hamiltonian vector field of a time-dependent function--its flux is nonzero). So if one is restricting to Hamiltonian flows (as the OP seems to be doing) this example doesn't apply. | |
Jan 10, 2013 at 13:31 | history | edited | Peter Michor | CC BY-SA 3.0 |
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Jan 10, 2013 at 12:21 | history | answered | Peter Michor | CC BY-SA 3.0 |