Flows on 2-dimensional manifolds : an overview / Igor Nikolaev, Evgeny Zhuzhoma.

Format:

Book

Author/Creator:

Nikolaev, Igor, 1961-

Contributor:

Zhuzhoma, E. V.

Series:

Lecture notes in mathematics (Springer-Verlag) ; 1705.

Lecture notes in mathematics, 0075-8434 ; 1705

Language:

English

Subjects (All):

Flows (Differentiable dynamical systems).

Low-dimensional topology.

Physical Description:

xix, 294 pages : illustrations ; 24 cm.

Other Title:

Flows on two-dimensional manifolds

Place of Publication:

Berlin ; New York : Springer-Verlag, [1999]

Summary:

This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras. For the second aspect, elliptic genera are shown to have the structure of modules over certain vertex operator super-algebras. The vertex operators corresponding to parallel tensor fields on closed Riemannian Spin K hler manifolds such as Riemannian tensors and K hler forms are shown to give rise to Virasoro algebras and affine Lie algebras. This monograph is chiefly intended for topologists and it includes accounts on topics outside of topology such as vertex operator algebras.

Notes:

Includes bibliographical references (pages [269]-286) and index.

ISBN:

3540660062

OCLC:

41452694