Mathematical Research Letters
Volume 20 (2013)
An application of the rigidity of Dolbeault-type operators
Pages: 81 – 89
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.
rigidity, Dolbeault-type operator, circle action, weight
2010 Mathematics Subject Classification
32Q60, 37B05, 58J20