On the geometry of some unitary Riemann surface braid group representations and Laughlin-type wave functions

DOI10.1016/j.geomphys.2015.04.003zbMath1317.81178OpenAlexW1987439830MaRDI QIDQ2352284

Mauro Spera

Publication date: 30 June 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2015.04.003

zbMATH Keywords

noncommutative geometrystable holomorphic vector bundlesprime formLaughlin wave functionsRiemann surface braid groups

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Quantum computation (81P68) Braid groups; Artin groups (20F36) Geometry and quantization, symplectic methods (81S10) Jacobians, Prym varieties (14H40) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34) Theta functions and curves; Schottky problem (14H42) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

On Some Geometric Aspects of Coherent States

Cites Work

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• Fourier-Mukai and Nahm transforms in geometry and mathematical physics
• Geometric quantization of Chern-Simons gauge theory
• Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
• Geometric quantization and multiplicities of group representations
• Complex abelian varieties and theta functions
• Elliptic theta functions and the fractional quantum Hall effect
• Categories of holomorphic vector bundles on noncommutative two-tori
• Die Eindeutigkeit der Schrödingerschen Operatoren
• Topology and fractional quantum Hall effect
• A new proof of a theorem of Narasimhan and Seshadri
• Geometric phases in classical and quantum mechanics
• On presentations of surface braid groups.
• Quantum mechanics and quantum Hall effect on Riemann surfaces
• Fourier-Mukai transform and adiabatic curvature of spectral bundles for Landau Hamiltonians on Riemann surfaces
• Flat connections and geometric quantization
• Non-Abelian anyons and topological quantum computation
• GEOMETRIC REALISATION OF A CLASS OF UNITARY RIEMANN SURFACE BRAID GROUP REPRESENTATIONS
• Vector Bundles Over an Elliptic Curve
• ON SOME SYMPLECTIC ASPECTS OF KNOT FRAMINGS
• Quantal phase factors accompanying adiabatic changes
• A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles
• A Symplectic Approach to Yang Mills Theory for Non Commutative Tori
• Heisenberg groups and holomorphic vector bundles over a complex torus
• A geometrical characterization of a class of holomorphic vector bundles over a complex torus
• Self-duality in four-dimensional Riemannian geometry
• Geometric Invariant Theory
• Topological interpretations of quantum Hall conductance
• The noncommutative geometry of the quantum Hall effect
• Quantization, Classical and Quantum Field Theory and Theta Functions
• TWISTED INDEX THEORY ON GOOD ORBIFOLDS, I: NONCOMMUTATIVE BLOCH THEORY
• The Yang-Mills equations over Riemann surfaces
• Fourier-Mukai transforms for coherent systems on elliptic curves
• Braid Groups
• Duality, Quantum Mechanics and (Almost) Complex Manifolds
• Landau levels on a torus
• Twisted index theory on good orbifolds. II: Fractional quantum numbers
• Theta functions on noncommutative tori

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