The geometry of the bundle of connections

Authors
Lopez, MC Masque, JM
Citation
Mc. Lopez et Jm. Masque, The geometry of the bundle of connections, MATH Z, 236(4), 2001, pp. 797-811
Citations number
14
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ZEITSCHRIFT
ISSN journal
00255874 → ACNP
Volume
236
Issue
4
Year of publication
2001
Pages
797 - 811
Database
ISI
SICI code
0025-5874(200104)236:4<797:TGOTBO>2.0.ZU;2-Y
Abstract
A generalized symplectic structure on the bundle of connections p: C(P) --> M of an arbitrary principal G-bundle pi: P --> M is defined by means of a p*adP-valued differential 2-form Omega (2) on C(P), which is related to the generalized contact structure on J(1) (P). The Hamiltonian properties of O mega (2) are also analyzed.