The Lie algebra of homeomorphisms of the circle

DOI10.1006/aima.1998.1774zbMath0935.17009OpenAlexW2068020863WikidataQ115396393 ScholiaQ115396393MaRDI QIDQ1281890

Robert C. Penner, Fyodor Malikov

Publication date: 6 December 1999

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

Full work available at URL: https://doi.org/10.1006/aima.1998.1774

zbMATH Keywords

Teichmüller spaceLie algebrasFréchet coordinates

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

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Cites Work

• Earthquakes are analytic
• Sur un groupe remarquable de difféomorphismes du cercle. (On a remarkable group of the diffeomorphisms of the circle)
• Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy
• Lie algebras graded by finite root systems and intersection matrix algebras
• Universal constructions in Teichmüller theory
• The inverse function theorem of Nash and Moser
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