Differential Geometric Methods in Theoretical Physics: Proceedings of the 19th International Conference Held in Rapallo, Italy 19–24 June 1990

Higgs fields and superconnections....Pages 3-12
Noncommutative differential geometry, quantum mechanics and gauge theory....Pages 13-24
Introduction to non-commutative geometry and Yang-Mills model-building....Pages 25-36
II. Gauge-field model-building via non-commutative differential geometry....Pages 37-44
Measuring coalgebras, quantum group-like objects, and non-commutative geometry....Pages 47-60
Tensor Operator Structures in Quantum Unitary Groups....Pages 61-69
Quantum groups and quantum complete integrability: Theory and experiment....Pages 71-90
Some ideas and results on integrable nonlinear evolution systems....Pages 91-95
An algebraic characterization of complete integrability for Hamiltonian systems....Pages 96-106
Integrable lattice models and their scaling limits QFT and CFT....Pages 107-119
Quantum groups, Riemann surfaces and conformal field theory....Pages 120-130
Some physical applications of category theory....Pages 131-142
From poisson groupoids to quantum groupoids and back....Pages 143-154
Quantization on Kähler manifolds....Pages 155-161
A new class of infinite-dimensional Lie algebras (continuum Lie algebras) and associated nonlinear systems....Pages 162-170
Exchange Algebra in the Conformal Affine sl 2 Toda Field Theory....Pages 173-184
Some properties of p-lines....Pages 185-197
Breaking of supersymmetry through anomalies in composite spinor operators....Pages 198-208
Conformal field theory and moduli spaces of vector bundles over variable Riemann surfaces....Pages 209-218
Instanton homology....Pages 219-221
W- geometry....Pages 222-244
Connections between CFT and topology via Knot theory....Pages 245-254
Stochastic calculus in superspace and supersymmetric Hamiltonians....Pages 255-262
Geometric models and the modulli spaces for string theories....Pages 263-268
Supersymmetric products of SUSY-curves °....Pages 271-285
Classical superspaces and related structures....Pages 286-297
Remarks on the differential identities in Schouten-Nijenhuis algebra....Pages 298-310
Generic irreducible representations of classical Lie superalgebras....Pages 311-319
Krichever construction of solutions to the super KP hierarchies....Pages 320-330
The structure of supersymplectic supermanifolds....Pages 331-343
Gauge fixing: Geometric and probabilistic aspects of yang-mills gauge theories....Pages 347-358
A renormalizable theory of quantum gravity....Pages 359-371
Third order nonlinear Hamiltonian systems: Some remarks on the the action-angle transformation....Pages 375-378
Tensor products of q p = 1 quantum groups and WZW fusion rules....Pages 379-381
The modular group and super-KMS functionals....Pages 382-384
New quantum representation for gravity and Yang-Mills theory....Pages 385-386
Geometric quantization of the five-dimensional Kepler problem....Pages 387-389
Structure functions on the usual and exotic symplectic and periplectic supermanifolds....Pages 390-395
Symbols alias generating functionals — a supergeometric point of view....Pages 396-398
Sheaves of graded Lie algebras over variable Riemann surfaces and a paired Weil-Petersson inner product....Pages 399-401