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Symplectic Geometry and Circuit Quantization [PDF]
PRX Quantum, 2023 Circuit quantization is an extraordinarily successful theory that describes the behavior of quantum circuits with high precision. The most widely used approach of circuit quantization relies on introducing a classical Lagrangian whose degrees of freedom ...
A. Osborne +5 more
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Italian National Conference on Sensors, 2023 Extracting the fault characteristic information of rolling bearings from intense noise disturbance has been a heated research issue. Symplectic geometry mode decomposition (SGMD) has already been adopted for bearing fault diagnosis due to its advantages ...
Yanfei Liu +5 more
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Holomorphic triangle invariants and the topology of symplectic four-manifolds [PDF]
, 2002 This article analyzes the interplay between symplectic geometry in dimension four and the invariants for smooth four-manifolds constructed using holomorphic triangles introduced in math.SG/0110169.
P. Ozsváth, Z. Szabó
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Gerbes, 2-gerbes and symplectic fibrations [PDF]
, 2005 Let (F,u)\to P\to N be a symplectic fibration in math.SG/0503268 McDuff has defined a subgroup Ham^s(F,u) of the group of symplectic automorphisms of(F,u).
Tsemo Aristide
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Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability [PDF]
Pure and Applied Mathematics Quarterly, 2019 Let $G$ be a real reductive Lie group, $L$ a compact subgroup, and $\pi$ an irreducible admissible representation of $G$. This paper proves a necessary and sufficient condition for the finiteness of the multiplicities of $L$-types occurring in $\pi ...
Toshiyuki Kobayashi
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The $\log$ symplectic geometry of Poisson slices [PDF]
The Journal of Symplectic Geometry, 2020 Our paper develops a theory of Poisson slices and a uniform approach to their partial compactifications. The theory in question is loosely comparable to that of symplectic cross-sections in real symplectic geometry.
Peter Crooks, M. Roser
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Symplectic geometry of Cartan–Hartogs domains [PDF]
Annali di Matematica Pura ed Applicata, 2020 This paper studies the geometry of Cartan–Hartogs domains from the symplectic point of view. Inspired by duality between compact and noncompact Hermitian symmetric spaces, we construct a dual counterpart of Cartan–Hartogs domains and give explicit ...
R. Mossa, Michela Zedda
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Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey [PDF]
, 2008 After a brief summary of the main properties of Poisson manifolds and Lie algebroids in general, we survey recent work on the modular classes of Poisson and twisted Poisson manifolds, of Lie algebroids with a Poisson or twisted Poisson structure, and of ...
Kosmann-Schwarzbach, Yvette
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Fukaya Categories as Categorical Morse Homology [PDF]
, 2014 The Fukaya category of a Weinstein manifold is an intricate symplectic invariant of high interest in mirror symmetry and geometric representation theory. This paper informally sketches how, in analogy with Morse homology, the Fukaya category might result
Nadler, David
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Toeplitz Operators, K\"ahler Manifolds, and Line Bundles [PDF]
, 2007 This is a survey paper. We discuss Toeplitz operators in K\"ahler geometry, with applications to geometric quantization, and review some recent developments.Comment: This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in ...
Foth, Tatyana
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