Hamiltonian symplectomorphisms and the Berry phase
| dc.creator | Viña, Andrés | |
| dc.date | 2000-09-22 | |
| dc.date | 2001-02-06 | |
| dc.date.accessioned | 2026-07-07T04:37:40Z | |
| dc.date.available | 2026-07-07T04:37:40Z | |
| dc.description | On the space ${\cal L}$, of loops in the group of Hamiltonian symplectomorphisms of a symplectic quantizable manifold, we define a closed ${\bf Z}$-valued 1-form $Ω$. If $Ω$ vanishes, the prequantization map can be extended to a group representation. On ${\cal L}$ one can define an action integral as an ${\bf R}/{\bf Z}$-valued function, and the cohomology class $[Ω]$ is the obstruction to the lifting of that action integral to an ${\bf R}$-valued function. The form $Ω$ also defines a natural grading on $π_1({\cal L})$. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0009206 | |
| dc.identifier | http://arxiv.org/abs/math/0009206 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59985 | |
| dc.subject | Symplectic Geometry | |
| dc.title | Hamiltonian symplectomorphisms and the Berry phase | |
| dc.type | text |