An asymptotic estimation of dimension of harmonic spinors
Ken-ichi SUGIYAMA
著者情報
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Ken-ichi SUGIYAMA
Department of Mathematics Faculty of Science University of Tokyo
ジャーナル
フリー
1988 年 40 巻 2 号 p. 319-330
詳細
- Published: 1988 Received: 1986/11/25 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/10/20 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 I, Ann. of Math., 87 (1968), 484-530; III, Ann. of Math., 87 (1968), 546-604.
2) J.M. Bismut, The Atiyah-Singer's index theorem: A probabilistic approach I, The index theorem, J. Funct. Anal., 57 (1984), 56-99.
3) J.P. Demailly, Champ magnetiques et inegalite de Morse pour la d”.cohomology, Ann. Inst. Fourier, 35 (1985), 189-229.
4) N. Hitchin, Harmonic spinors, Adv. in Math., 14 (1974), 1-55.
5) M. Gromov and H.B. Lawson Jr., Spin and scalar curvature in the presence of a fundamental group I, Ann. of Math., 111 (1980), 209-230.
6) A. Lichnerowicz, Spineurs harmoniques, C. R. Acad. Sci. Paris, 257 (1963), 7-9.
7) I. Yokota, Gun to hyogen, Syokabo, 1973, in Japanese.
Right : [1] M. F. Atiyah and I. M. Singer, The index of elliptic operators I, Ann. of Math., 87 (1968), 484-530; III, Ann. of Math., 87 (1968), 546-604.
[2] J. M. Bismut, The Atiyah-Singer's index theorem: A probabilistic approach I, The index theorem, J. Funct. Anal., 57 (1984), 56-99.
[3] J. P. Demailly, Champ magnetiques et inegalite de Morse pour la d"-cohomology, Ann. Inst. Fourier, 35 (1985), 189-229.
[4] N. Hitchin, Harmonic spinors, Adv. in Math., 14 (1974), 1-55.
[5] M. Gromov and H. B. Lawson Jr., Spin and scalar curvature in the presence of a fundamental group I, Ann. of Math., 111 (1980), 209-230.
[6] A. Lichnerowicz, Spineurs harmoniques, C. R. Acad. Sci. Paris, 257 (1963), 7-9.
[7] I. Yokota, Gun to hyôgen, Syôkabô, 1973, in Japanese.
訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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