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Poincaré polynomials of moduli spaces of stable maps into flag manifolds

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Abstract

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

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Acknowledgements

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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Correspondence to Xiaobo Zhuang.

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Zhuang, X. Poincaré polynomials of moduli spaces of stable maps into flag manifolds. Front. Math. China 13, 483–508 (2018). https://doi.org/10.1007/s11464-018-0689-9

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  • DOI: https://doi.org/10.1007/s11464-018-0689-9

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