Smooth S1-action and bordism

Akio HATTORI; Hajime TANIGUCHI

doi:10.2969/jmsj/02440701

Smooth S¹-action and bordism

Akio HATTORI, Hajime TANIGUCHI

著者情報

ジャーナルフリー

1972 年 24 巻 4 号 p. 701-731

DOI https://doi.org/10.2969/jmsj/02440701

詳細

Published: 1972 Received: 1972/02/14 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) M. F. Atiyah and I. M. Singer, The index of elliptic operators: III, Ann. of Math., 87 (1968), 546-603.
2) A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces, II, Amer. J. Math., 81 (1959), 315-382.
3) P. E. Conner and E. E. Floyd, Maps of odd period, Ann, of Math., 84 (1966), 132-156.
4) K. Kawakubo and F. Raymond, The index of manifolds with toral actions and geometric interpretations of the σ(∞, (S¹, Mⁿ)) invariant of Atiyah and Singer, Invent. Math., 15 (1972), 53-66.
5) K. Kawakubo and F. Uchida, On the index of a semi-free S¹-action, J. Math. Soc. Japan, 23 (1971), 351-355.
6) C. Kosniowski, Applications of the holomorphic Lefschetz formula, Bull. London Math. Soc., 2 (1970), 43-48.
7) E. Ossa, Fixpunktfreie S¹-Aktionen, Math. Ann., 186 (1970), 45-52.
8) F. Uchida, Cobordism groups of semi-free S¹- and S³-actions, Osaka J. Math., 7 (1970), 345-351.

Right : [1] M. F. Atiyah and I. M. Singer, The index of elliptic operators: III, Ann. of Math., 87 (1968), 546-603.
[2] A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces, II, Amer. J. Math., 81 (1959), 315-382.
[3] P. E. Conner and E. E. Floyd, Maps of odd period, Ann. of Math., 84 (1966), 132-156.
[4] K. Kawakubo and F. Raymond, The index of manifolds with toral actions and geometric interpretations of the σ(∞,(S¹,Mⁿ)) invariant of Atiyah and Singer, Invent. Math., 15 (1972), 53-66.
[5] K. Kawakubo and F. Uchida, On the index of a semi-free S¹-action, J. Math. Soc. Japan, 23 (1971), 351-355.
[6] C. Kosniowski, Applications of the holomorphic Lefschetz formula, Bull. London Math. Soc., 2 (1970), 43-48.
[7] E. Ossa, Fixpunktfreie S¹-Aktionen, Math. Ann., 186 (1970), 45-52.
[8] F. Uchida, Cobordism groups of semi-free S¹- and S³-actions, Osaka J. Math., 7 (1970), 345-351.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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