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Bordism theory and the Kervaire semi-characteristic

Bordism theory and the Kervaire semi-characteristic
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摘要 By using the bordism group, this paper provides an alternative proof of Weiping Zhang's theorem on counting Kervaire semi-characteristic. By using the bordism group, this paper provides an alternative proof of Weiping Zhangs’ theorem on counting Kervaire semi-characteristic.
作者 唐梓洲
出处 《Science China Mathematics》 SCIE 2002年第6期716-720,共5页 中国科学:数学(英文版)
基金 This work was supported partially by the Hong Kong Qiu-Shi Foundation, the Outstanding Youth Foundation of China and the Education Foundation of Tsinghua University, as well as the Grants-in-Aid for Science Research of Japanese Ministry of Education.
关键词 BORDISM group Kervaire semi-characteristic of manifold. Bordism group Kervaire semi-characteristic of manifold
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参考文献5

  • 1Jean-Michel Bismut,Gilles Lebeau.Complex immersions and Quillen metrics[J].Publications Mathématiques de l’Institut des Hautes Scientifiques.1991(1)
  • 2M. F. Atiyah,J. L. Dupont.Vector fields with finite singularities[J].Acta Mathematica.1972(1)
  • 3Thomas,E.Vector fields on manifolds, Bull[].Journal of the American Mathematical Society.1969
  • 4Zhang,W.A counting formula for the Kervaire semi-characteristic[].Topology.2000
  • 5Witten,E.Supersymmetry and Morse theory, J.of Diff[].Geomatica.1982

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