Publications (139)
On incompleteness of classical field theory
G. Sardanashvily
On the BV quantization of gauge gravitation theory
D. Bashkirov, G. Sardanashvily
Advanced Mechanics. Mathematical Introduction
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Geometric quantization of relativistic Hamiltonian mechanics
G. Sardanashvily
Relativistic and Non-relativistic Equations of Motion
L. Mangiarotti, G. Sardanashvily
Constraints in Hamiltonian time-dependent mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Deviation differential equations. Jacobi fields
G. Sardanashvily
Non-adiabatic holonomy operators in classical and quantum completely integrable systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Holonomy control operators in classical and quantum completely integrable Hamiltonian systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
The antifield Koszul-Tate complex of reducible Noether identities
D. Bashkirov, G. Giachetta, L. Mangiarotti +1
Jacobi fields of completely integrable Hamiltonian systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Energy-Momentum and Gauge Conservation Laws
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Differential operators on Lie and graded Lie algebras
G. Sardanashvily
On the definition of higher order differential operators in noncommutative geometry
G. Sardanashvily
The bracket and the evolution operator in covariant Hamiltonian field theory
G. Sardanashvily
A note on the KAM theorem for partially integrable Hamiltonian systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Axiomatic classical (prequantum) field theory. Jet formalism
G. Sardanashvily
Fibre Bundles, Jet Manifolds and Lagrangian Theory. Lectures for Theoreticians
G. Sardanashvily
The KT-BRST complex of a degenerate Lagrangian system
D. Bashkirov, G. Giachetta, L. Mangiarotti +1
True Functional Integrals in Algebraic Quantum Field Theory
G. Sardanashvily
Gauge conservation laws in a general setting. Superpotential
G. Sardanashvily
Algebras of infinite qubit systems
G. Sardanashvily
Energy-momentum tensors in gauge theory
G. Sardanashvily
Quantum mechanics with respect to different reference frames
L. Mangiarotti, G. Sardanashvily
Geometric quantization of time-dependent completely integrable Hamiltonian systems
E. Fiorani, G. Giachetta, G. Sardanashvily
What is geometry in quantum theory
G. Sardanashvily, G. Giachetta
The Lyapunov stability of first order dynamic equations with respect to time-dependent Riemannian metrics. An example
G. Sardanashvily
On necessary and sufficient conditions of the BV quantization of a generic Lagrangian field system
D. Bashkirov, G. Giachetta, L. Mangiarotti +1
Noether conservation laws in classical mechanics
G. Sardanashvily
Noncommutative integrability on noncompact invariant manifolds
E. Fiorani, G. Sardanashvily
Green function identities in Euclidean quantum field theory
G. Sardanashvily
Multimomentum Hamiltonian Formalism in Field Theory. Geometric Supplementary
G. Sardanashvily
Energy-Momentum Conservation Laws in Hamiltonian Field Theory
G. Sardanashvily
Space-time BRST symmetries
D. Bashkirov, G. Sardanashvily
Classical field theory. Advanced mathematical formulation
G. Sardanashvily
Covariant Hamiltonian field theory
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Geometric quantization of symplectic foliations
G. Sardanashvily
Geometric and Algebraic Topological Methods in Quantum Mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Noether conservation laws issue from the gauge invariance of an Euler-Lagrange operator, but not a Lagrangian
G. Sardanashvily
Jets of modules in noncommutative geometry
G. Sardanashvily
The quasi-periodic stability condition (the KAM theorem) for partially-integrable systems
G. Sardanashvily
On the mathematical origin of quantum space-time
G. Sardanashvily
Action-angle coordinates around a noncompact invariant manifold of a completely integrable Hamiltonian system
E. Fiorani, G. Giachetta, G. Sardanashvily
Gravity as a Higgs Field. III. Nongravitional Deviations of Gravitational Fields
G. Sardanashvily
On the obstruction to the exactness of the variational bicomplex
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Energy-momentum conservation laws in gauge theory with broken gauge symmetries
G. Sardanashvily
Generalized Lagrangian symmetries depending on higher order derivatives. Conservation laws and the characteristic equation
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Stress-Energy-Momentum Tensors in Constraint Field Theories
G. Sardanashvily
Differential Geometry of Time-Dependent Mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Gauge Gravitation Theory. What is the Geometry of the World?
G. Sardanashvily
The Liouville-Arnold-Nekhoroshev theorem for non-compact invariant manifolds
E. Fiorani, G. Giachetta, G. Sardanashvily
Ten lectures on jet manifolds in classical and quantum field theory
G. Sardanashvily
Nonrelativistic Geodesic Motion
L. Mangiarotti, G. Sardanashvily
Multimomentum Hamiltonian Formalism
G. Sardanashvily
Noether conservation laws in higher-dimensional Chern-Simons theory
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Superintegrable non-autonomous Hamiltonian systems
G. Sardanashvily
Nonequivalent representations of nuclear algebras of canonical commutation relations. Quantum fields
G. Sardanashvily
Geometry of classical Higgs fields
G. Sardanashvily
Reduction of principal superbundles, Higgs superfields, and supermetric
G. Sardanashvily
On the mathematical hypothesis of phenomena like the confinement
G. Sardanashvily
Energy-Momentum in Gauge Gravitation Theory
G. Sardanashvily, K. Kirillov
Covariant geometric quantization of non-relativistic Hamiltonian mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Noether's inverse second theorem in homology terms
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Recursion operators between degenerate Poisson structures
G. Sardanashvily
On the notion of a differential operator in noncommutative geometry
G. Sardanashvily
Gauge conservation laws in higher-dimensional Chern-Simons models
G. Sardanashvily
Classical gauge theory of gravity
G. Sardanashvily
The covariant Lyapunov tensor and the Lyapunov stability with respect to time-dependent Riemannian metrics
G. Sardanashvily
The Lyapunov stability of first order dynamic equations with respect to time-dependent Riemannian metrics
G. Sardanashvily
Dynamic Connections in Analytical Mechanics
L. Mangiarotti, G. Sardanashvily
Deformation quantization in covariant Hamiltonian field theory
G. Sardanashvily
Gravity as a Higgs Field. II.Fermion-Gravitation Complex
G. Sardanashvily
Relativistic mechanics in a general setting
G. Sardanashvily
Axiomatic quantum field theory. Jet formalism
G. Sardanashvily
Lectures on integrable Hamiltonian systems
G. Sardanashvily
Geometric quantization of non-relativistic and relativistic Hamiltonian mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Lectures on supergeometry
G. Sardanashvily
Noether conservation laws in quantum mechanics
G. Sardanashvily
Global calculus in BRST cohomology
G. Giachetta, L. Mangiarotti, G. Sardanashvily
The gauge condition in gravitation theory with a background metric
G. Sardanashvily
Quantum Jacobi fields in Hamiltonian mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Lagrangian and Hamiltonian dynamics of submanifolds
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Noether's second theorem for BRST symmetries
D. Bashkirov, G. Giachetta, L. Mangiarotti +1
Hamiltonian Field Systems on Composite Manifolds
G. Sardanashvily
Non-Symplectic Geometry of First Order Time-Dependent Mechanics
G. Sardanashvily
Background Geometry in Gauge Gravitation Theory
G. Sardanashvily
50 Years of Gauge Theory. Mathematical Aspects
G. Sardanashvily
Hopf algebras of canonical commutation relations
G. Sardanashvily
Gravity as a Higgs Field. I.the Geometric Equivalence Principle
G. Sardanashvily
Noether conservation laws in infinite order Lagrangian formalism
G. Sardanashvily
On the bracket problem in covariant Hamiltonian field theory
L. Mangiarotti, G. Sardanashvily
Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Mathematical models of spontaneous symmetry breaking
G. Sardanashvily
Lagrangian BV quantization and Ward identities
D. Bashkirov, G. Sardanashvily
Action-angle coordinates for time-dependent completely integrable Hamiltonian systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
On the geometric foundation of classical gauge gravitation theory
G. Sardanashvily
Universal Spin Structure in Gauge Gravitation Theory
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Cohomology of the infinite-order jet space
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Lagrangian dynamics of submanifolds. Relativistic mechanics
G. Sardanashvily
Stress-Energy-Momentum Tensors in Lagrangian Field Theory. Part 2. Gravitational Superpotential
G. Giachetta, G. Sardanashvily