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Conformal Field Theory and Cohomologies of the Lie Algebra of Holomorphic Vector Fields on a Complex Curve by Feigin B.L. is a nonfiction available to read on EtoBox.

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Proceedings of the International Congress of Mathematicians, Kyoto, Japan, 1990. (C) The Mathematical Society of Japan, 1991 . — [(ICM) 1990. (No 1). — P.: 0071-0086], eBook, English. (Boris L. Feigin. Institute of Solid State Physics, USSR Academy of Sciences, Chernogolovka 142432 Moscow Region, USSR). Introduction . In this text we shall deal with only one aspect of the conformai field theory - the concept of the modular functor. Recall the main structure of the conformai field theory. Let M be a complex curve. First of all the theory associates to M a finite dimensional vector space H(M). The construction of H(M) depends on the choice of a complex structure on M, but really the correspondence M - H (M) is topological by nature. Our approach to the definition of H(M) is the following. Let Dif(JVf) be the group of all C°°-diffeomorphisms of M. The group Dif(M) acts on the space of all complex structures on M. Contents . Introduction. Definition of the Lie Algebra of Vector Fields on a Complex Manifold. Continuous Cohomologies of Lie(M). Description of a 1-Cocycle of the Cosimplicial Lie Algebra Lie A(M). Homologies of the Lie Algebra of Holomorphic Vector Fields on a Compact One

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Author

Feigin B.L.

Language

EN

Category

nonfiction

Subjects

Mathematics, Algebra, Stem