In search of infinite-dimensional Kähler geometry

DOI10.1070/RM9919zbMath1446.58003OpenAlexW3018651712MaRDI QIDQ3305700

Armen Glebovich Sergeev

Publication date: 10 August 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9919

zbMATH Keywords

Dirac quantizationVirasoro algebrauniversal Teichmüller spacehalf-differentiable stringsHilbert-Schmidt Grassmannian manifoldsloop spaces of compact Lie groups

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Loop groups and related constructions, group-theoretic treatment (22E67) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Kähler manifolds (32Q15) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Teichmüller theory for Riemann surfaces (30F60)

Related Items

Complex Geometry of Universal Teichm¨uller Space, Applications of noncommutative geometry in function theory and mathematical physics

Cites Work

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