The index of manifolds with toral actions and geometric interpretations of the σ(∞, (S1, Mn)) invariant of atiyah and singer

  • Katsuo Kawakubo
  • Frank Raymond
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 298)


Geometric Interpretation Orbit Space Toral Action Mapping Cylinder Generalize Manifold 
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    Atiyah, M. F. and Singer, I. M., The index of elliptic operators: III, Ann. of Math. 87 (1968), 546–604.MathSciNetzbMATHCrossRefGoogle Scholar
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    Conner, P. E. and Raymond, F., Injective operations of the toral groups, to appear in Topology.Google Scholar
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    Kawakubo, K. and Raymond, F., The index of manifolds with toral actions and geometric interpretations of σ(∞, (S1, Mn)) invariant of Atiyah and Singer, to appear in Inventiones Math.Google Scholar
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    Kawakubo, K. and Uchida, F., On the index of a semi-free S1-action, Proc. Japan Acad. 46 (1970), 620–622 and J. Math. Soc. Japan 23 (1971), 351–355.MathSciNetzbMATHCrossRefGoogle Scholar
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Copyright information

© Springer-Verlag Berlin · Heidelberg 1972

Authors and Affiliations

  • Katsuo Kawakubo
    • 1
  • Frank Raymond
    • 2
  1. 1.Osaka University and Institute for Advanced StudyJapan
  2. 2.University of Michigan and Institute for Advanced StudyUSA

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