Results 11 to 20 of about 130,009 (295)
Assignments and abstract moment maps [PDF]
Journal of Differential Geometry, 1999 moment maps arise as a generalization of genuine moment maps on symplectic manifolds when the symplectic structure is discarded, but the relation between the mapping and the action is kept. Particular examples of abstract moment maps had been used in Hamiltonian mechanics for some time, but the abstract notion originated in the study of cobordisms of ...
Ginzburg, Viktor L. +2 more
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Toeplitz Operators, Pseudo-Homogeneous Symbols, and Moment Maps on the Complex Projective Space [PDF]
Journal of Function Spaces, 2017 Following previous works for the unit ball due to Nikolai Vasilevski, we define quasi-radial pseudo-homogeneous symbols on the projective space and obtain the corresponding commutativity results for Toeplitz operators. A geometric interpretation of these
Miguel Antonio Morales-Ramos +2 more
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Hypertoric Manifolds and HyperKähler Moment Maps [PDF]
, 2017 We discuss various aspects of moment map geometry in symplectic and hyperKähler geometry. In particular, we classify complete hyperKähler manifolds of dimension $4n$ with a tri-Hamiltonian action of a torus of dimension $n$, without any assumption on the finiteness of the Betti numbers. As a result we find that the hyperKähler moment in these cases has
Dancer, A, Swann, A
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Lie group valued moment maps [PDF]
Journal of Differential Geometry, 1998 AMS-LaTeX, 36 ...
Alekseev, Anton +2 more
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A categorical approach to quantum moment maps [PDF]
, 2021 We introduce quantum versions of Manin pairs and Manin triples and define quantum moment maps in this context. This provides a framework that incorporates quantum moment maps for actions of Lie algebras and quantum groups for any quantum parameter.
Safronov, Pavel
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Trivializations of moment maps [PDF]
Annales de l'Institut FourierWe study various trivializations of moment maps. First in the general framework of a complex reductive group G acting on a smooth affine variety. We prove that the moment map is a locally trivial fibration over a regular locus of the center of the ...
Ballandras, Mathieu
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On the Jacobian of the Harmonic Moment Map [PDF]
Complex Analysis and Operator Theory, 2008 In this paper we represent harmonic moments in the language of transfinite functions, that is projective limits of polynomials in infinitely many variables. We obtain also an explicit formula for the Jacobian of a generalized harmonic moment map.
Gustafsson, Björn, Tkachev, Vladimir G.
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High‐Sensitivity Moment Magnetometry With the Quantum Diamond Microscope
Geochemistry, Geophysics, Geosystems, 2020 Interest in magnetic fields on the ancient Earth and other planetary bodies has motivated the paleomagnetic analysis of complex rocks such as meteorites that carry heterogeneous magnetizations at
Roger R. Fu +3 more
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Construction of propagators for divisible dynamical maps
New Journal of Physics, 2021 Divisible dynamical maps play an important role in characterizing Markovianity on the level of quantum evolution. Divisible maps provide an important generalization of Markovian semigroups. Usually one analyzes either completely positive or just positive
Ujan Chakraborty, Dariusz Chruściński
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A Remark on the Moment Map [PDF]
Proceedings of the American Mathematical Society, 1994 Following S. Lie, it is proposed that moment maps be constructed for degenerate forms and the utility of such maps is illustrated by computing the moment maps for torus actions on C n {{\mathbf {C}}^n} and U ( n )
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