W-(infinity)-algebras in n complex dimensions and Kodaira-Spencer deformations : a symplectic approach
arXiv:hep-th/0201071 · doi:10.1063/1.1513653
Abstract
It is shown that the notion of W_\infty-algebra originally carried out over a (compact) Riemann surface can be extended to n complex dimensional (compact) manifolds within a symplectic geometrical setup. The relationships with the Kodaira-Spencer deformation theory of complex structures are discussed. Subsequently, some field theoretical aspects at the classical level are briefly underlined.
LaTex, 20 pages, no figures, version to be published in Journ. Math. Phys