TY - GEN

T1 - Futaki invariant and CM polarization

AU - Tian, Gang

PY - 2016/1/1

Y1 - 2016/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84977489227&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84977489227&partnerID=8YFLogxK

U2 - 10.1007/978-4-431-56021-0_18

DO - 10.1007/978-4-431-56021-0_18

M3 - Conference contribution

AN - SCOPUS:84977489227

SN - 9784431560197

T3 - Springer Proceedings in Mathematics and Statistics

SP - 327

EP - 348

BT - Geometry and Topology of Manifolds - 10th China-Japan Geometry Conference, 2014

A2 - Miyaoka, Reiko

A2 - Futaki, Akito

A2 - Zhang, Weiping

A2 - Tang, Zizhou

PB - Springer New York LLC

T2 - 10th Geometry Conference on Friendship between China and Japan, 2014

Y2 - 7 September 2014 through 11 September 2014

ER -