Variations on Homological Reduction

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dc.creatorHerbig, Hans-Christian
dc.date2007-08-25
dc.date.accessioned2026-07-07T08:25:52Z
dc.date.available2026-07-07T08:25:52Z
dc.descriptionIn 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.
dc.descriptionPh.D. thesis, December 2006, german abstract
dc.identifierhttps://arxiv.org/abs/0708.3598
dc.identifierhttp://arxiv.org/abs/0708.3598
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136764
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject53D55, 53D20, 16E45, 16W25, 16W55
dc.titleVariations on Homological Reduction
dc.typetext

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