Futaki invariant and CM polarization

Gang Tian

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


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 languageEnglish (US)
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
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017


Other10th Geometry Conference on Friendship between China and Japan, 2014

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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