Gelfand-Fuchs cohomology of invariant formal vector fields

• Autores: Ilya Shapiro, Xiang Tang
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 1, 2008, págs. 129-148
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n1.a12
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• Resumen

  • Let $\Gamma$ be a finite group acting linearly on a vector space $V$. We compute the Lie algebra cohomology of the Lie algebra of $\Gamma$-invariant formal vector fields on $V$. We use this computation to define characteristic classes for foliations on orbifolds.