Mathematical Research Letters

Volume 20 (2013)

Number 1

An application of the rigidity of Dolbeault-type operators

Pages: 81 – 89

DOI: https://dx.doi.org/10.4310/MRL.2013.v20.n1.a8

Author

Ping Li (Department of Mathematics, Tongji University, Shanghai, China)

Abstract

Suppose a compact, almost-complex manifold admits a compatible circle action. By using the rigidity property and the coefficient of $y + 1$ in the $\chi_y$-genus simultaneously, we show that the weights on the fixed point set of this circle action have intimate relations, which improves a previous result of the author.

Keywords

rigidity, Dolbeault-type operator, circle action, weight

2010 Mathematics Subject Classification

32Q60, 37B05, 58J20

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Published 20 September 2013