南开大学学报(自然科学版) ›› 2021 ›› Issue (5): 1-.

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酉S1流形的Todd 亏格与Ak亏格(英文)

  

  • 出版日期:2021-10-20 发布日期:2021-11-07

  • Online:2021-10-20 Published:2021-11-07

摘要: Assume that M is a compact connected unitary 2n-dimensional manifold and admits a nontrivial circle action preserving the given complex structure. If the first Chern class of M equals to k0x for a certain 2nd integral cohomology class x with | k0 | ≥ n + 2, and its first integral cohomology group is zero,
this short paper shows that the Todd genus and Ak-genus of M vanish, k ≥ 2.

关键词: unitary manifold, circle action, Todd genus, Ak-genus