Futaki invariant and CM polarization

Gang Tian

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

Abstract

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
Pages327-348
Number of pages22
ISBN (Print)9784431560197
DOIs
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
Volume154
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

Other10th Geometry Conference on Friendship between China and Japan, 2014
CountryChina
CityShanghai
Period9/7/149/11/14

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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