Variations on Homological Reduction
Quantum Algebra
2007-08-28 v1 Mathematical Physics
math.MP
Abstract
In this paper, we are concerned with the BFV-reduction of first class constraints in classsical Hamiltonian mechanics and deformation quantization. As a result, we obtain continuous star products for certain singular reduced symplectic quotients. We relate the notion of "irreducibility" of a constraint to the notion of complete intersection used in commutative algebra. We generalize the classical BFV construction to the case of projective Tate generators using a super-Poisson bracket discovered by M. Rothstein. We also discuss the problem of infinite reducibility. Several examples are elaborated on.
Cite
@article{arxiv.0708.3598,
title = {Variations on Homological Reduction},
author = {Hans-Christian Herbig},
journal= {arXiv preprint arXiv:0708.3598},
year = {2007}
}
Comments
Ph.D. thesis, December 2006, german abstract