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.
CITATION STYLE
Tian, G. (2016). Futaki invariant and CM polarization. In Springer Proceedings in Mathematics and Statistics (Vol. 154, pp. 327–348). Springer New York LLC. https://doi.org/10.1007/978-4-431-56021-0_18
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