Frontiers of Mathematics in China

, Volume 13, Issue 2, pp 483–508 | Cite as

Poincaré polynomials of moduli spaces of stable maps into flag manifolds

  • Xiaobo Zhuang
Research Article


By using the Bialynicki-Birula decomposition and holomorphic Lefschetz formula, we calculate the Poincaré polynomials of the moduli spaces in low degrees.


Bialynicki-Birula decomposition Poincaré polynomial 


13D40 14M15 14D22 


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The author thanks Professor Jian Zhou for his comments and suggestions, he thanks Professor Dragos Oprea for telling him Edward’s work [13] and some reference typos, and he also wants to thank Xiaowen Hu for helpful discussion. This work was supported by the Science Foundation of Zhejiang Sci-Tech University (ZSTU) (Grant No. 17062079-Y).


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© Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of ScienceZhejiang Sci-Tech UniversityHangzhouChina

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