논문KCI 등재
SPIN STRUCTURES ON COMPLEX PROJECTIVE SPACES AND CIRCLE ACTIONS
대한수학회 (The Korean Mathematical Society)|2023.09|대한수학회보 (Bulletin of the KMS)|제60권 제5호|pp. 1295-1298|DOI 10.4134/BKMS.b220657
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초록
It is known that the complex projective space $\mathbb{CP}^n$ admits a spin structure if and only if $n$ is odd. In this paper, we provide another proof that $\mathbb{CP}^{2m}$ does not admit a spin structure, by using a circle action.
Abstract
It is known that the complex projective space $\mathbb{CP}^n$ admits a spin structure if and only if $n$ is odd. In this paper, we provide another proof that $\mathbb{CP}^{2m}$ does not admit a spin structure, by using a circle action.
참고문헌 (2)
- M. F. Atiyah, "Essays on Topology and Related Topics (Memoires dedies a Georges de Rham)", pp.18~28 (1970), Springer
- A. Haefliger, "Sur l'extension du groupe structural d'une espace fibre", C. R. Acad. Sci. Paris, 243, pp.558~560 (1956)
관련 논문AI추천
SPIN-STRUCTURES ON REAL BOTT MANIFOLDSAnna Ga¸sior대한수학회 · 대한수학회지2017 · 제54권 제2호Circle Actions on Oriented Manifolds with Few Fixed Points장동훈영남수학회 · East Asian Mathematical Journal2020 · 제36권 제5호TANGENTIAL REPRESENTATIONS AT ISOLATED FIXED POINTS OF ODD-DIMENSIONAL G-MANIFOLDSKatsuhiro Komiya대한수학회 · 대한수학회보2008 · 제45권 제1호On spin alternating group actions on spin 4-manifoldsKazuhiko Kiyono, Ximin Liu대한수학회 · 대한수학회지2006 · 제43권 제6호Primitive Circle Actions on Almost Complex Manifolds with Isolated Fixed Points장동훈영남수학회 · East Asian Mathematical Journal2019 · 제35권 제3호Six dimensional almost complex torus manifolds with Euler number six박지윤, 장동훈대한수학회 · 대한수학회보2024 · 제61권 제2호
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