Stability Functions

作者：Burns Daniel^*; Guillemin Victor; Wang Zuoqin

来源：Geometric and Functional Analysis, 2010, 19(5): 1258-1295.

DOI：10.1007/s00039-009-0035-1

• Kahler reduction
• symplectic reduction
• Bohr-Sommerfeld
• half-form corrections
• distribution laws
• spectral measures
• toric varieties
• spherical varieties
• quiver varieties

In this article we discuss the role of stability functions in geometric invariant theory and apply stability function techniques to various types of asymptotic problems in the Kahler geometry of GIT quotients. We discuss several particular classes of examples, namely, toric varieties, spherical varieties and the symplectic version of quiver varieties.

• 出版日期2010-2