Differential Geometric Methods in Theoretical Physics [electronic resource] : Proceedings of the 19th International Conference Held in Rapallo, Italy, 19–24 June 1990 / edited by CLAUDIO BARTOCCI, Ugo Bruzzo, Roberto Cianci.
 Publication:
 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1991.
 Format/Description:
 Book
1 online resource (XIX, 404 p. 4 illus.)  Edition:
 1st ed. 1991.
 Series:
 Lecture Notes in Physics, 00758450 ; 375
Lecture Notes in Physics, 00758450 ; 375  Status/Location:

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Details
 Subjects:
 Mathematical physics.
Differential geometry.  Local subjects:
 Theoretical, Mathematical and Computational Physics. (search)
Differential Geometry. (search)  Language:
 English
 Summary:
 Geometry, if understood properly, is still the closest link between mathematics and theoretical physics, even for quantum concepts. In this collection of outstanding survey articles the concept of noncommutation geometry and the idea of quantum groups are discussed from various points of view. Furthermore the reader will find contributions to conformal field theory and to superalgebras and supermanifolds. The book addresses both physicists and mathematicians.
 Contents:
 Higgs fields and superconnections
Noncommutative differential geometry, quantum mechanics and gauge theory
to noncommutative geometry and YangMills modelbuilding
II. Gaugefield modelbuilding via noncommutative differential geometry
Measuring coalgebras, quantum grouplike objects, and noncommutative geometry
Tensor Operator Structures in Quantum Unitary Groups
Quantum groups and quantum complete integrability: Theory and experiment
Some ideas and results on integrable nonlinear evolution systems
An algebraic characterization of complete integrability for Hamiltonian systems
Integrable lattice models and their scaling limits QFT and CFT
Quantum groups, Riemann surfaces and conformal field theory
Some physical applications of category theory
From poisson groupoids to quantum groupoids and back
Quantization on Kähler manifolds
A new class of infinitedimensional Lie algebras (continuum Lie algebras) and associated nonlinear systems
Exchange Algebra in the Conformal Affine sl 2 Toda Field Theory
Some properties of plines
Breaking of supersymmetry through anomalies in composite spinor operators
Conformal field theory and moduli spaces of vector bundles over variable Riemann surfaces
Instanton homology
W geometry
Connections between CFT and topology via Knot theory
Stochastic calculus in superspace and supersymmetric Hamiltonians
Geometric models and the modulli spaces for string theories
Supersymmetric products of SUSYcurves °
Classical superspaces and related structures
Remarks on the differential identities in SchoutenNijenhuis algebra
Generic irreducible representations of classical Lie superalgebras
Krichever construction of solutions to the super KP hierarchies
The structure of supersymplectic supermanifolds
Gauge fixing: Geometric and probabilistic aspects of yangmills gauge theories
A renormalizable theory of quantum gravity
Third order nonlinear Hamiltonian systems: Some remarks on the the actionangle transformation
Tensor products of q p = 1 quantum groups and WZW fusion rules
The modular group and superKMS functionals
New quantum representation for gravity and YangMills theory
Geometric quantization of the fivedimensional Kepler problem
Structure functions on the usual and exotic symplectic and periplectic supermanifolds
Symbols alias generating functionals — a supergeometric point of view
Sheaves of graded Lie algebras over variable Riemann surfaces and a paired WeilPetersson inner product.  Notes:
 Bibliographic Level Mode of Issuance: Monograph
 Contributor:
 BARTOCCI, CLAUDIO. editor., Editor,
Bruzzo, Ugo. editor., Editor,
Cianci, Roberto. editor., Editor,  ISBN:
 3540470905
 Publisher Number:
 10.1007/3540537635 doi