Quantization of universal Teichmüller space (Q2927815)
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scientific article; zbMATH DE number 6365728
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantization of universal Teichmüller space |
scientific article; zbMATH DE number 6365728 |
Statements
4 November 2014
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quasiconformal mapping
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universal Teichmüller space
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geometric quantization
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Quantization of universal Teichmüller space (English)
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In this lecture the author defines a quantum counterpart of the universal Teichmüller space \(\mathcal{T}\) provided with the action of the group \(QS(S^1)\).NEWLINENEWLINENEWLINEThe proposed quantization procedure is based on Connes' quantization as described, in particular, in his book [Géométrie non commutative. Paris: InterEditions (1990; Zbl 0745.46067)].NEWLINENEWLINENEWLINEThe material of the lecture is partly presented in the recent book [Lectures on universal Teichmüller space. Zürich: European Mathematical Society (EMS) (2014; Zbl 1297.30003)] by \textit{A. Sergeev}.NEWLINENEWLINEFor the entire collection see [Zbl 1298.00309].
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