TY  - INPR
A1  - Fedosov, Boris
T1  - Moduli spaces and deformation quantization in infinite dimensions
N2  - We construct a deformation quantization on an infinite-dimensional symplectic space of regular connections on an SU(2)-bundle over a Riemannian surface of genus g ≥ 2. The construction is based on the normal form thoerem representing the space of connections as a fibration over a finite-dimensional moduli space of flat connections whose fibre is a cotangent bundle of the infinite-dimensional gauge group. We study the reduction with respect to the gauge groupe both for classical and quantum cases and show that our quantization commutes with reduction.
T3  - Preprint - (1998) 27 
KW  - moduli space of flat connections
KW  - gauge group
KW  - star-product
KW  - Weyl algebras bundle
KW  - symplectic reduction
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25396
ER  - 
TY  - INPR
A1  - Fedosov, B.
T1  - On a spectral theorem for deformation quantization
N2  - We give a construction of an eigenstate for a non-critical level of the Hamiltonian function, and investigate the contribution of Morse critical points to the spectral decomposition. We compare the rigorous result with the series obtained by a perturbation theory. As an example the relation to the spectral asymptotics is discussed.
T3  - Preprint - (2006) 16 
KW  - star-product
KW  - WKB method
KW  - spectral theorem
Y1  - 2006
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30161
ER  -