Kähler geometry of loop spaces

DOI10.2969/msjmemoirs/023010000zbMath1191.58001OpenAlexW4243802876MaRDI QIDQ974097

Armen Glebovich Sergeev

Publication date: 27 May 2010

Published in: MSJ Memoirs (Search for Journal in Brave)

Full work available at URL: http://projecteuclid.org/euclid.msjm/1418311586

zbMATH Keywords

quantizationloop spaceinfinite-dimensional Kähler manifold

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Loop spaces (55P35) Applications of differential geometry to physics (53Z05) Applications of manifolds of mappings to the sciences (58D30) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Research exposition (monographs, survey articles) pertaining to global analysis (58-02)

Related Items (10)

Geometric investigations of a vorticity model equation ⋮ Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras ⋮ On two geometric problems arising in mathematical physics ⋮ In search of infinite-dimensional Kähler geometry ⋮ Harmonic maps into loop spaces of compact Lie groups ⋮ On Kähler geometry of infinite-dimensional complex manifolds \(\operatorname{Diff}_+(S^1)/S^1\) and \(\operatorname{Diff}_+(S^1)/\text{Möb}(S^1)\) ⋮ Twistor quantization of loop spaces of compact Lie groups ⋮ Universal Teichmüller space as a non-trivial example of infinite-dimensional complex manifolds ⋮ Classical and quantum Teichmüller spaces ⋮ String theory and quasiconformal maps

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