Futaki invariant and CM polarization

Gang Tian

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


This is an expository paper. We will discuss various formulations of Futaki invariant and its relation to the CM line bundle. We will discuss their connections to the K-energy. We will also include proof for certain known results which may not have been well presented or less accessible in the literature. We always assume that M is a compact Kahler manifold. By a polarization, we mean a positive line bundle L over M, then we call (M, L) a polarized manifold.

Original languageAmerican English
Title of host publicationGeometry and Topology of Manifolds - 10th China-Japan Geometry Conference, 2014
EditorsReiko Miyaoka, Akito Futaki, Weiping Zhang, Zizhou Tang
PublisherSpringer New York LLC
Number of pages22
ISBN (Print)9784431560197
StatePublished - Jan 1 2016
Event10th Geometry Conference on Friendship between China and Japan, 2014 - Shanghai, China
Duration: Sep 7 2014Sep 11 2014

Publication series

NameSpringer Proceedings in Mathematics and Statistics


Other10th Geometry Conference on Friendship between China and Japan, 2014

ASJC Scopus subject areas

  • General Mathematics


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