Journal of Geometry and
Physics
Aims and
Scope
Last updating: 28.10.2003
Aims
The purpose of the Journal of
Geometry and Physics (JGP) is to stimulate the interaction between
geometry and physics
by communicating results, ideas and problems between the two areas.
JGP publishes original research
articles and review papers interrelating geometry and physics.
Scope
JGP covers the following research topics, with
emphasis on the interrelation between geometry and physics:
GEOMETRIC METHODS IN PHYSICS:
- algebraic and differential topology
(homology and cohomology, homotopy, fibre
spaces, spectral sequences, characteristic classes, foliations,
surgery, cobordism, topological groups, Morse theory)
- algebraic
geometry
(local theory, families and fibrations,
curves, surfaces, higher-dimensional varieties, Abelian varieties,
algebraic groups, schemes, real algebraic geometry)
- real and complex differential geometry
(local/global differential geometry, fibre
bundles, connections, Riemannian geometry, Lorentzian geometry, complex
manifolds, singularities, potential theory)
- symplectic
geometry
(symplectic and contact manifolds, Lagrangian
submanifolds and Maslov index, Poisson manifolds, canonical
transformations, Floer theory, Gromov-Witten invariants, Frobenius
manifolds, geometric quantization, deformation quantization,
quantization of Poisson manifolds, Lie-Poisson groups)
- global analysis, analysis
on manifolds
(infinite-dimensional manifolds, nonlinear
differential operators, spaces of mappings, variational problems,
singularities)
- Lie groups and Lie (super)algebras
(Lie groups, Lie algebras, Lie superalgebras,
cohomology of Lie algebras, Virasoro and Kac-Moody algebras, vertex
algebras)
- supermanifolds
and supergroups
- spinors and twistors
(Clifford algebras, representations of
orthogonal groups, algebraic theory of spinors, spinor bundles, twistor
spaces)
- quantum
groups
(Hopf algebras, quantum groups, deformations
of enveloping algebras, Yang-Baxter equations)
- noncommutative topology and
geometry
(noncommutative topology, differential
geometry, algebraic geometry, probability and statistics, dynamical
systems)
- geometric control theory
- geometric methods in
statistics and probability
CLASSICAL
MATHEMATICAL PHYSICS:
- classical mechanics
(particle systems, Lagrangian and Hamiltonian
mechanics, symmetry and conservation laws)
- dynamical systems
(dynamical systems, ergodic theory,
Lagrangian and Hamiltonian systems, infinite-dimensional dynamical
systems, cellular automata)
- classical integrable systems
(integrable PDEs and ODEs, discrete systems,
separation of variables, algebraic and geometric techniques, relations
with quantum field theory, enumerative geometry, symplectic topology
and singularity theory)
- classical
field theory
(electromagnetism, gauge theories, unified
theories, variational approaches, Lagrangian and Hamiltonian
approaches, symplectic techniques, symmetries and conservation laws,
continuous media)
- general relativity
(Einstein equations, exact solutions, unified
theories, cosmological models)
- geometric approaches to thermodynamics
QUANTUM MATHEMATICAL PHYSICS:
- quantum mechanics
(applications of group theory, techniques of
noncommutative geometry and quantum groups, spinors and twistors,
geometric quantization, deformation quantization)
- quantum
dynamical and integrable systems
(relations with quantum groups, quantum
separation of variables)
- quantum field theory
(Yang-Mills theory, supersymmetric field
theories, topological field theories, quantum field theory on curved
spacetimes, conformal field theory, statistical field theory, methods
from algebraic and differential geometry)
- quantum
gravity
(quantization of the gravitational field,
supergravity)
- strings and superstrings
(mirror symmetry, branes, matrix models,
relations with algebraic geometry and enumerative problems)
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