Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893895 | Journal of Geometry and Physics | 2006 | 17 Pages |
Abstract
Each loop ψψ in the group Ham(M) of Hamiltonian diffeomorphisms of a symplectic manifold MM determines a fibration EE on S2S2, whose coupling class [V. Guillemin, L. Lerman, S. Sternberg, Symplectic Fibrations and Multiplicity Diagrams, Cambridge U.P., Cambridge, 1996] is denoted by cc. If VTE is the vertical tangent bundle of EE, we relate the characteristic number ∫Ec1(VTE)cn to the Maslov index of the linearized flow ψt∗ψt∗ and the Chern class c1(TM). We give the value of this characteristic number for loops of Hamiltonian symplectomorphisms of Hirzebruch surfaces.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Andrés Viña,