A few his books help us to understand dipolic using Chern characters, Chern classes, Chern numbers!

Chern Shiing-shen. Complex Manifolds without Potential Theory, 2nd edn (New York: Springer-Verlag). 1995.

Shiing-Shen Chern, Wei-Huan Chen, K. S. Lam. Lectures on Differential Geometry. (Series on University Mathematics) World Scientific. 2000. 368 p.

Shing Tung Yau. Surveys in Differential Geometry. Essays in geometry in memory of S.S. Chern. 2006. 439 p.

Чжэнь Шэн-Шэнь. Комплексные многообразия, ИЛ, 1961

Shiing-Shen Chern (October 26, 1911 – December 3, 2004) was a Chinese-born American mathematician. He was regarded as one of the leaders in differential geometry of the twentieth century.

陳省身（Shiing-shen Chern，1911年10月28號—2004年12月3號），中國微分幾何工作者。美國國家科學院士、中央研究院士，法國科學院、義大利國家科學院、英國皇家學會同中國科學院嘅外籍院士。