inherits from M a Kähler structure; and in the first part of this paper we will describe what the Kähler form and Ricci form look like locally on coordinate patches in Mλ. Then in the second part of this paper we will discuss some global implications of these results. This will include (1) A Kählerian proof of the Duistermaat-Heckman theorem. (2) A formula, due to Biquard and Gauduchon, for the...

This paper studies a particular kind of gaming responses to explicit incentives in a large government organization. The gaming responses we consider occur when agents strategically report their performance outcomes to maximize their awards. An important contribution of this work is to examine whether this behavior diverts resources (e.g. agents’ time) from productive activities or whether it si...

The Duistermaat-Heckman formula for their induced measure on a moment polytope is nowadays seen as the Fourier transformof the Atiyah-Bott localization formula, applied to the T -equivariant Liouville class. From this formula one does not see directly that the measure is positive, nor that it vanishes outside the moment polytope. In [Knutson99] we gave a formula for the Duistermaat-Heckman meas...

Symmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces, and they interesting examples spherical varieties. We prove that all smooth Fano with Picard number one admit Kähler–Einstein metrics by using a combinatorial criterion for K-stability obtained Delcroix. For this purpose, we present their algebraic moment polytopes compute the barycenter each polytope re...