Explicit Formulae for Cocycles of Holomorphic Vector Fields with values in lambda-Densities

Friedrich Wagemann

Type: Preprint

Publication Date: 2001-01-01

Citations: 1

Abstract

We give explicit formulae for the generators of H^2(Hol(\Sigma_r,{\cal F}_{\lambda}(\Sigma_r)) in terms of affine and projective connections. This is done using the cocycles of V. Ovsienko and C. Roger for the case of the circle and globalizing them to an open Riemann surface \Sigma_r.

Locations

arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View

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+	Lectures on Riemann Surfaces	1966	Robert C. Gunning
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris
+	Cohomology of Infinite-Dimensional Lie Algebras	1986	D. B. Fuks
+ PDF Chat	On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces	1993	Nariya Kawazumi
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+ PDF Chat	Half-order differentials on Riemann surfaces	1966	Newton S. Hawley M. Schiffer
+	Special coordinate coverings of Riemann surfaces	1967	Robert C. Gunning
+	Algebras of virasoro type, riemann surfaces and structures of the theory of solitons	1987	I. M. Krichever S. P. Novikov
+	The cohomology of the vector fields on a manifold	1977	R. Bott Graeme Segal
+ PDF Chat	Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras	1999	Martin Schlichenmaier Oleg K. Sheinman