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Geometry and Topology of Manifolds : 10th China-Japan Conference 2014 / / edited by Akito Futaki, Reiko Miyaoka, Zizhou Tang, Weiping Zhang
| Geometry and Topology of Manifolds : 10th China-Japan Conference 2014 / / edited by Akito Futaki, Reiko Miyaoka, Zizhou Tang, Weiping Zhang |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Tokyo : , : Springer Japan : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (350 p.) |
| Disciplina | 514 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Differential geometry
Manifolds (Mathematics) Complex manifolds Partial differential equations Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Partial Differential Equations |
| ISBN | 4-431-56021-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Minimal Legendrian Surfaces in the Five-Dimensional Heisenberg Group; 1 Introduction and Main Results; 2 Some Known Results and Proof of Theorem1.1; 3 Proof of Theorem1.4; References; Gluing Principle for Orbifold Stratified Spaces; 1 Introduction and Statements of Main Theorems; 2 Smooth Structures on Stratified Orbifolds; 2.1 Linearly Stratified (Euclidean) Spaces; 2.2 Gluing Principle for Manifold Stratified Spaces; 2.3 Gluing Theorem for Orbifold Stratified Spaces; 3 Moduli Spaces of Stable Curves as Orbifold Stratified Spaces
3.1 Teichmüller Space and Moduli Space of Riemann Surfaces (Top Stratum)3.2 Canonical Construction of Proper'etale Groupoids; 3.3 Moduli Space of Stable Curves; 4 Horocycle Structures Associated to Marked or Nodal Points; 5 Gluing Data and Good Orbifold Gluing Structures for Moduli Spaces of Stable Curves; References; Applications of the Affine Structures on the Teichmüller Spaces; 1 Introduction; 2 Period Maps on Moduli Spaces; 2.1 Moduli, Torelli and Teichmüller space; 2.2 Period Domain and Period Map; 3 Affine Structures on Teichmüller Spaces 4 Hodge Metric Completion Space of Torelli Space and a Global Torelli Theorem5 Applications; 5.1 Surjectivity of the Period Map on the Hodge Metric Completion Space; 5.2 Global Holomorphic Sections of the Hodge Bundles; 5.3 A Global Splitting Property of the Hogde Bundles; References; Critical Points of the Weighted Area Functional; 1 Introduction; 1.1 Mean Curvature Flow; 1.2 Mean Curvature Type Flow; 2 Complete Self-shrinkers of Mean Curvature Flow; 2.1 Definition of Self-shrinkers; 2.2 Examples of Complete Self-shrinkers; 2.3 Self-shrinkers with Non-negative Mean Curvature 3 The Weighted Volume-Preserving Variations3.1 Definition of λ-hypersurfaces; 3.2 mathcalF-Functional; 3.3 Stability of Compact λ-hypersurfaces; 3.4 Complete λ-hypersurfaces; 4 Area of Complete λ-hypersurfaces; 4.1 Upper Bound Growth of Area of Complete λ-hypersurfaces; 4.2 Lower Bound Growth of Area of Complete λ-hypersurfaces; References; A New Look at Equivariant Minimal Lagrangian Surfaces in mathbbC P2; 1 Introduction; 2 Minimal Lagrangian Surfaces in mathbbCP2 ; 2.1 The Loop Group Method for Minimal Lagrangian Surfaces; 3 Equivariant Minimal Lagrangian Surfaces 4 Translationally Equivariant Minimal Lagrangian Immersions4.1 Application of a Result by Burstall and Kilian for Translationally Equivariant Minimal Lagrangian Immersions; 5 Explicit Iwasawa Decomposition for Translationally Equivariant Minimal Lagrangian Immersions; 5.1 The Basic Set-Up; 5.2 Evaluation of the Characteristic Polynomial Equations; 5.3 Explicit Solutions for Metric and Cubic Form; 5.4 Explicit Iwasawa Decompositions; 5.5 Explicit Expressions for Minimal Lagrangian Immersions; 6 Equivariant Cylinders and Tori; 6.1 Translationally Equivariant Minimal Lagrangian Cylinders 6.2 Translationally Equivariant Minimal Lagrangian Tori |
| Record Nr. | UNINA-9910254078103321 |
| Tokyo : , : Springer Japan : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometry, Analysis and Probability : In Honor of Jean-Michel Bismut / / edited by Jean-Benoît Bost, Helmut Hofer, François Labourie, Yves Le Jan, Xiaonan Ma, Weiping Zhang
| Geometry, Analysis and Probability : In Honor of Jean-Michel Bismut / / edited by Jean-Benoît Bost, Helmut Hofer, François Labourie, Yves Le Jan, Xiaonan Ma, Weiping Zhang |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017 |
| Descrizione fisica | 1 online resource (VIII, 361 p. 5 illus., 1 illus. in color.) |
| Disciplina | 530.156 |
| Collana | Progress in Mathematics |
| Soggetto topico |
Global analysis (Mathematics)
Manifolds (Mathematics) Algebraic geometry Probabilities Number theory Global Analysis and Analysis on Manifolds Algebraic Geometry Probability Theory and Stochastic Processes Number Theory |
| ISBN | 3-319-49638-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Geometric higher groupoids and categories -- Hodge type theorems for arithmetic hyperbolic -- The Ding functional, Berndtsson convexity and moment maps -- Dimers and curvature formulae -- The norm of the Weierstrass Section -- Smooth family Thom-Smale complexes -- higher Analytic Torsion Polylogarithms and norm compatible elements on Abelian Schemes -- Teichmuller theory for conic surfaces -- On the analytic torsion of hyperbolic manifolds of the finite volume -- Log-correlated Gaussian elds: an overview -- A variation formula for the determinant line bundle. Compact subspaces of moduli spaces of stable bundles over class VII surfaces -- K-stability implies CM-stability -- Simple renormalization flow for FK-Percolation models -- Analytic torsion for BORCEA-VOISIN threefolds. |
| Record Nr. | UNINA-9910254293403321 |
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Special Topics in Quantum Optics / / edited by Weiping Zhang, Zeng-Bing Chen
| Special Topics in Quantum Optics / / edited by Weiping Zhang, Zeng-Bing Chen |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (230 pages) |
| Disciplina | 535.15 |
| Soggetto topico |
Quantum optics
Quantum computers Quantum communication Atoms Molecules Quantum Optics Quantum Computing Quantum Communications and Cryptography Atomic, Molecular and Chemical Physics |
| ISBN | 981-9984-54-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Contents -- 1 Optical Quantum Computing -- 1.1 Introduction -- 1.2 Quantum Algorithm -- 1.2.1 Shor's Algorithm -- 1.2.2 Grover's Search Algorithm -- 1.2.3 Quantum Simulation Algorithm -- 1.3 Theoretical Foundation of Optical Quantum Computing -- 1.3.1 Basic Quantum Gates -- 1.3.2 Quantum Computing Based on Quantum Teleportation -- 1.3.3 KLM Scheme -- 1.3.4 One-Way Quantum Computation -- 1.3.5 Errors in Optical Quantum Computation -- 1.4 Preparation and Coherence Manipulation of Optical Qubits -- 1.4.1 Preparation of Qubits -- 1.4.2 Coherent Manipulation of Optical Qubits -- 1.4.3 Measurement of Optical Quantum States -- 1.5 Recent Advances in Optical Quantum Computing -- 1.5.1 Boson Sampling Experiment -- 1.5.2 Topological Quantum Error Correction Experiments [21] -- 1.5.3 Experimental Realization of Blind Quantum Computation (BQC) -- 1.5.4 Optical Implementation of Shor's Algorithm -- 1.5.5 One-Way Quantum Computation Experiment Based on Cluster States -- 1.5.6 One-Way Quantum Computation Based on "Non-Cluster States" -- 1.5.7 Experiment on Solving a System of Linear Equations -- References -- 2 New Progress in Quantum Optics and Atom Optics -- 2.1 Introduction -- 2.2 Cavity Optomechanics -- 2.2.1 Mechanical Effects of Light -- 2.2.2 Optomechanics Based on Cavity Structure -- 2.2.3 Cavity Optomechanics and Weak Force Measurement -- 2.2.4 Cavity Optomechanics in Quantum Region -- 2.2.5 Summary and Prospect -- 2.3 Interactions of Ultracold Rydberg Atoms with Light Field -- 2.3.1 Brief Introduction to Rydberg Atoms -- 2.3.2 Light-Atom Interactions -- 2.3.3 Dipole Blocking Effect of Rydberg Atoms -- 2.3.4 Applications of Rydberg Atoms -- 2.4 Spin-orbit Quantum Gas and Gauge Potential -- 2.4.1 Spin-orbit Coupling -- 2.4.2 Artificial Gauge Potential -- 2.4.3 Spin-Orbit Coupled Quantum Gases.
2.4.4 Spin-Orbit Coupling and Anderson Localization -- 2.5 Phase Measurement and Quantum Noise -- 2.5.1 Phase Measurement -- 2.5.2 Phase Measurement by Mach-Zehnder Interferometer -- 2.5.3 Phase Measurement of Quantum Effect Enhancement -- 2.5.4 Summary and Prospect -- 2.6 Two-Dimensional Magneto-Optical Trap and Heralded Single-Photon Source -- 2.6.1 Two-Dimensional Magneto-Optical Trap (2D MOT) -- 2.6.2 Increasing Optical Depth -- 2.6.3 Controllable Heralded Single-Photon Source -- 2.6.4 Single Photon with Controllable, Narrow Linewidth, and Wide Time Domain Wave Function -- 2.6.5 Application -- 2.7 Quantum Correlation in Raman Scattering -- 2.7.1 Raman Scattering in Atomic Ensemble -- 2.7.2 Atomic Spin Excitation -- 2.7.3 Correlation Between Atomic Spin Excitation and Light -- 2.7.4 Application of Spin Excitation-Photon Modulation -- 2.8 Optical Quantum Correlation Interferometer -- References -- Index. |
| Record Nr. | UNINA-9910865234003321 |
| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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