Article thumbnail
Location of Repository

HAMILTONIAN SYMPLECTOMORPHISMS AND THE BERRY PHASE

By 

Abstract

Abstract. On the space L, of loops in the group of Hamiltonian symplectomorphisms of a symplectic manifold, we define a closed Z-valued 1-form Ω. If Ω vanishes, the prequantization map can be extended to a group representation. On L one can define an action integral as an R/Z-valued function, and the cohomology class [Ω] is the obstruction to the lifting of that action integral to an R-valued function. The form Ω also defines a natural grading on π1(L). 1

Year: 2000
OAI identifier: oai:CiteSeerX.psu:10.1.1.235.7589
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://arxiv.org/pdf/math/0009... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.