A canonical hyperkaehler metric on the total space of a cotangent bundle

Abstract

A canonical hyperkaehler metric on the total space $T^{\ast }M$ of a cotangent bundle to a complex manifold $M$ has been constructed recently by the author (see alg-geom/9710026). This paper presents the results of alg-geom/9710026 in a streamlined and simplified form. The only new result is an explicit formula obtained for the case when $M$ is an Hermitian symmetric space.

44 pages, 2 eps figures, LaTeX2e. A talk at the Second Quaternionic Meeting, Rome, 1999