Quantization of the Sobolev space of half-differentiable functions

DOI10.1070/SM8673zbMath1360.30019MaRDI QIDQ2957864

Armen Glebovich Sergeev

Publication date: 30 January 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirac quantizationquasisymmetric homeomorphismsSobolev space of half-differentiable functions

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Quasiconformal mappings in the complex plane (30C62)

Related Items (4)

Spin geometry of Dirac and noncommutative geometry of Connes ⋮ In search of infinite-dimensional Kähler geometry ⋮ Universal Teichmüller space as a non-trivial example of infinite-dimensional complex manifolds ⋮ Quantization of the Sobolev space of half-differentiable functions. II

Cites Work

• The group of quasisymmetric homeomorphisms of the circle and quantization of the universal Teichmüller space
• Teichmüller theory and the universal period mapping via quantum calculus and the \(H^{1/2}\) space on the circle

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