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2001, Studies in advanced mathematics, ISBN 9781584880011, xi, 278
Book
Advances in Mathematics, ISSN 0001-8708, 06/2018, Volume 331, pp. 941 - 951
We study a notion of pre-quantization for b-symplectic manifolds. We use it to construct a formal geometric quantization of b-symplectic manifolds equipped with Hamiltonian torus actions with nonzero modular weight... 
Formal geometric quantization | b-Symplectic manifolds | Poisson manifolds | MATHEMATICS | RIEMANN-ROCH FORMULAS | NONCOMPACT MANIFOLDS | MULTIPLICITIES FORMULA | Geometria diferencial | Geometria | Geometric quantization | Quantització geomètrica | Matemàtiques i estadística | Àrees temàtiques de la UPC
Journal Article
Annalen der Physik, ISSN 0003-3804, 2018, Volume 530, Issue 5, pp. 1700415 - n/a
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 10/2017, Volume 355, Issue 1, pp. 97 - 144
...). We show that the BV quantization (in Costello’s sense) of the model, which produces a perturbative quantum field theory, can be obtained via the configuration space method of regularization due to Kontsevich... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MATHEMATICAL | INVARIANTS | TOPOLOGICAL FIELD-THEORY | Algebra
Journal Article
Fortschritte der Physik, ISSN 0015-8208, 2019, Volume 67, Issue 8-9, p. 1910022
We describe three perspectives on higher quantization, using the example of magnetic Poisson structures which embody recent discussions of nonassociativity in quantum mechanics with magnetic monopoles... 
bundle gerbes | higher quantization | nonassociative geometry | non-geometric strings | magnetic monopoles | STRINGS | INTEGRATION | PHYSICS, MULTIDISCIPLINARY | DEFORMATION QUANTIZATION | MONOPOLES | Conferences, meetings and seminars | Conferences and conventions
Journal Article
Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, 2009, Volume 13, Issue 5, pp. 1445 - 1518
.... This leads to an interesting new perspective on quantization. From this point of view, the Hilbert space obtained by quantization of (M, omega) is the space of (B-cc, B... 
GEOMETRIC-QUANTIZATION | DEFORMATION QUANTIZATION | NILPOTENT ORBITS | EQUATIONS | PHYSICS, MATHEMATICAL | SIMONS GAUGE-THEORY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory
Journal Article
1992, 2nd ed., Oxford mathematical monographs., ISBN 0198536739, xi, 307
Book
IEEE transactions on communications, ISSN 1558-0857, 2019, Volume 67, Issue 10, pp. 6796 - 6815
.... The Bussgang decomposition is used to model the effect of quantization. The max-min problem is studied, where the minimum rate... 
Fading channels | Quantization (signal) | generalized eigenvalue | limited fronthaul | Channel estimation | Receivers | geometric programming | Cell-free Massive MIMO | Resource management | Uplink | OPTIMIZATION | TELECOMMUNICATIONS | SINR | EFFICIENCY | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Annals of physics, ISSN 0003-4916, 2015, Volume 363, Issue Complete, pp. 253 - 261
Journal Article
1980, Oxford mathematical monographs, ISBN 9780198535287, xi, 316
Book
Journal Article
Journal of Geometric Analysis, ISSN 1050-6926, 10/2016, Volume 26, Issue 4, pp. 2664 - 2710
Journal Article
Journal of mathematical physics, ISSN 1089-7658, 2018, Volume 59, Issue 8, p. 082103
We define mixed states associated with submanifolds with probability densities in quantizable closed Kähler manifolds. Then, we address the problem of... 
SYMPLECTIC-MANIFOLDS | PHYSICS, MATHEMATICAL | TOEPLITZ-OPERATORS | Upper bounds | Manifolds (mathematics)
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 06/2012, Volume 62, Issue 6, pp. 1373 - 1396
Journal Article
Advances in Mathematics, ISSN 0001-8708, 09/2015, Volume 282, pp. 362 - 426
Journal Article
Pacific Journal of Mathematics, ISSN 0030-8730, 2011, Volume 253, Issue 1, pp. 169 - 211
We study the formal geometric quantization of noncompact Hamiltonian manifolds. Our main result is that two quantization processes coincide... 
Reduction | Moment map | Transversally elliptic symbol | Geometric quantization | MATHEMATICS | transversally elliptic symbol | EQUIVARIANT INDEX | moment map | CHARACTER | reduction | geometric quantization | ELLIPTIC-OPERATORS | MULTIPLICITIES | CUTS | SYMPLECTIC REDUCTION
Journal Article
Kyoto Journal of Mathematics, ISSN 2156-2261, 12/2018, Volume 58, Issue 4, pp. 695 - 864
We give a global, intrinsic, and coordinate-free quantization formalism for Gromov-Witten invariants and their B-model counterparts, which simultaneously generalizes the quantization formalisms... 
MATHEMATICS | FROBENIUS STRUCTURES | TOPOLOGICAL STRINGS | COHOMOLOGY | HYPERSURFACES | SYSTEMS | LEFSCHETZ | GROMOV-WITTEN INVARIANTS | QUANTUM RIEMANN-ROCH | MIRROR SYMMETRY | CONJECTURE
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 09/2017, Volume 119, pp. 286 - 303
... of Kähler polarizations parametrized by the upper half plane S. Using this family, geometric quantization, including the half-form correction, produces the field Hcorr... 
Adapted complex structures | Geometric quantization | Hilbert fields | MATHEMATICS, APPLIED | LIE-GROUPS | GEOMETRIC-QUANTIZATION | TRANSFORM | MANIFOLDS | PHYSICS, MATHEMATICAL | ROOT SYSTEMS | MONGE-AMPERE EQUATION | HYPERGEOMETRIC-FUNCTIONS
Journal Article
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