Mathematical aspects of classical field theory : [electronic resource] proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 20-26, 1991, with support from the National Science Foundation / [editors] Mark J. Gotay, Jerrod [sic] E. Marsden, Vincent Moncrief.

By: AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Mathematical Aspects of Classical Field Theory (1991 : University of Washington)Contributor(s): Gotay, Mark J, 1952- | Marsden, Jerrold E | Moncrief, VincentMaterial type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 132.Publication details: Providence, R.I. : American Mathematical Society, c1992Description: 1 online resource (ix, 644 p. : ill.)ISBN: 9780821877234 (online)Subject(s): Field theory (Physics) -- CongressesAdditional physical formats: Mathematical aspects of classical field theory :DDC classification: 530.1/4 LOC classification: QC173.7 | .A48 1991Online resources: Contents | Contents
Contents:
Hidden symmetries in field theory / V�ictor Aldaya, Jos�e Navarro-Salas and Miguel Navarro -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188432 Construction of locally-symmetric Lagrangian field theories from variational identities / Stephen C. Anco -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188433 Introduction to the variational bicomplex / Ian M. Anderson -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188434 Wess-Zumino terms, extended algebras and anomalies in classical physics / J. A. de Azc�arraga -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188435 Scattering and complete integrability in four dimensions / John C. Baez -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188436 A candidate maximal torus in infinite dimensions / David Bao and Tudor Ratiu -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188437 Censorship, null geodesics and strong visibility / John K. Beem and Andrzej Kr�olak -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188438 Quasilocal energy in general relativity / J. David Brown and James W. York, Jr. -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188439 The reduction of Einstein's vacuum equations on spacetimes with spacelike ${\rm U}(1)$-isometry groups / John Cameron and Vincent Moncrief -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188440 Finiteness theorems in Riemannian geometry and lattice quantum gravity / M. Carfora and A. Marzuoli -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188441 Bi-Hamiltonian manifolds and $\tau $-function / Paolo Casati, Franco Magri and Marco Pedroni -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188442 On uniqueness in the large of solutions of Einstein's equations ("strong cosmic censorship") / Piotr T. Chru�sciel -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188443 Reduction of degenerate nonautonomous Lagrangians / Manuel de Le�on, Maria Herm�inia Mello and Paulo R. Rodrigues -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188444 On exactness of the variational bicomplex / L. A. Dickey -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188445 Geometric quantization and localization of relativistic spin systems / C. Duval and J. Elhadad -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188446 Riemannian maps between Riemannian manifolds / Arthur E. Fischer -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188447 Stress-energy-momentum tensors and the Belinfante-Rosenfeld formula / Mark J. Gotay and Jerrold E. Marsden -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188448 On the use of auxiliary fields in classical mechanics and in field theory / Marc Henneaux -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188449 Progress on strong cosmic censorship / James Isenberg -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188450 Loop algebras and canonical quantum gravity / C. J. Isham -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188451 Prequantum BRST cohomology / Takashi Kimura -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188452 Jacobian quasi-bialgebras and quasi-Poisson Lie groups / Yvette Kosmann-Schwarzbach -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188453 Deformations and quantum statistical mechanics / A. Lichnerowicz -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188454 Canonical and BRST-quantization of constrained systems / R. Loll -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188455 Classical observables of gauge theories from the multitemporal approach / Luca Lusanna -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188456 Variational problems on graded manifolds / J. Monterde and J. Mu�noz Masqu�e -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188457 The regularity of variational problems / D. J. Saunders -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188458 Homological (ghost) approach to constrained Hamiltonian systems / Jim Stasheff -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188459 A deformation theory of self-dual Einstein spaces / C. G. Torre -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188460 What are the rules of the game called BRST? / G. M. Tuynman -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188461 ${\rm SU}(3)\times {\rm SU}(2)\times {\rm U}(1)$: the residual symmetry of conformal gravity / James T. Wheeler -- http://www.ams.org/conm/132/ http://dx.doi.org/10.1090/conm/132/1188462
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"The AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Mathematical Aspects of Classical Field Theory was held at the University of Washington, Seattle, Washington"--T.p. verso.

Includes bibliographical references.

Hidden symmetries in field theory / V�ictor Aldaya, Jos�e Navarro-Salas and Miguel Navarro -- Construction of locally-symmetric Lagrangian field theories from variational identities / Stephen C. Anco -- Introduction to the variational bicomplex / Ian M. Anderson -- Wess-Zumino terms, extended algebras and anomalies in classical physics / J. A. de Azc�arraga -- Scattering and complete integrability in four dimensions / John C. Baez -- A candidate maximal torus in infinite dimensions / David Bao and Tudor Ratiu -- Censorship, null geodesics and strong visibility / John K. Beem and Andrzej Kr�olak -- Quasilocal energy in general relativity / J. David Brown and James W. York, Jr. -- The reduction of Einstein's vacuum equations on spacetimes with spacelike ${\rm U}(1)$-isometry groups / John Cameron and Vincent Moncrief -- Finiteness theorems in Riemannian geometry and lattice quantum gravity / M. Carfora and A. Marzuoli -- Bi-Hamiltonian manifolds and $\tau $-function / Paolo Casati, Franco Magri and Marco Pedroni -- On uniqueness in the large of solutions of Einstein's equations ("strong cosmic censorship") / Piotr T. Chru�sciel -- Reduction of degenerate nonautonomous Lagrangians / Manuel de Le�on, Maria Herm�inia Mello and Paulo R. Rodrigues -- On exactness of the variational bicomplex / L. A. Dickey -- Geometric quantization and localization of relativistic spin systems / C. Duval and J. Elhadad -- Riemannian maps between Riemannian manifolds / Arthur E. Fischer -- Stress-energy-momentum tensors and the Belinfante-Rosenfeld formula / Mark J. Gotay and Jerrold E. Marsden -- On the use of auxiliary fields in classical mechanics and in field theory / Marc Henneaux -- Progress on strong cosmic censorship / James Isenberg -- Loop algebras and canonical quantum gravity / C. J. Isham -- Prequantum BRST cohomology / Takashi Kimura -- Jacobian quasi-bialgebras and quasi-Poisson Lie groups / Yvette Kosmann-Schwarzbach -- Deformations and quantum statistical mechanics / A. Lichnerowicz -- Canonical and BRST-quantization of constrained systems / R. Loll -- Classical observables of gauge theories from the multitemporal approach / Luca Lusanna -- Variational problems on graded manifolds / J. Monterde and J. Mu�noz Masqu�e -- The regularity of variational problems / D. J. Saunders -- Homological (ghost) approach to constrained Hamiltonian systems / Jim Stasheff -- A deformation theory of self-dual Einstein spaces / C. G. Torre -- What are the rules of the game called BRST? / G. M. Tuynman -- ${\rm SU}(3)\times {\rm SU}(2)\times {\rm U}(1)$: the residual symmetry of conformal gravity / James T. Wheeler --

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188432

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188433

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188434

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188435

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188436

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188437

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188438

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188439

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188440

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188441

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188442

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188443

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188444

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188445

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188446

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188447

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188448

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188449

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188450

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188451

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188452

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188453

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188454

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188455

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188456

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188457

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188458

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188459

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188460

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188461

http://www.ams.org/conm/132/

http://dx.doi.org/10.1090/conm/132/1188462

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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