Global Deformations of the Witt Algebra of Krichever-novikov Type

  title={Global Deformations of the Witt Algebra of Krichever-novikov Type},
  author={Martin Schlichenmaier},
By considering non-trivial global deformations of the Witt (and the Virasoro) algebra given by geometric constructions it is shown that, despite their infinitesimal and formal rigidity, they are globally not rigid. This shows the need of a clear indication of the type of deformations considered. The families appearing are constructed as families of algebras of Krichever-Novikov type. They show up in a natural way in the global operator approach to the quantization of two-dimensional conformal… CONTINUE READING

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