Einstein-Hermitian connections on Hyper-Kähler quotients

Toru GOCHO; Hiraku NAKAJIMA

doi:10.2969/jmsj/04410043

Toru GOCHO, Hiraku NAKAJIMA

著者情報

ジャーナルフリー

1992 年 44 巻 1 号 p. 43-51

DOI https://doi.org/10.2969/jmsj/04410043

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Published: 1992 Received: 1990/05/11 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文サブタイトル訂正内容: Wrong : Dedicated to Professor Tadashi Nagano on his 60th birthday

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 著者情報訂正内容: Wrong : Toru GOCHO¹⁾, Hiraku NAKAZIMA¹⁾
Right : Toru GOCHO¹⁾, Hiraku NAKAJIMA¹⁾

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) A. L. Besse, Einstein Manifolds, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, 1987.
2) P. J. Braam and P, van Baal, Nahm's transformation for instantons, Comm. Math. Phys., 122 (1989), 267-280.
3) D. S. Freed and K. K. Uhlenbeck, Instantons and four-manifolds, MSRI Publ., 1, Springer-Verlag, 1984.
4) K. Galicki and H. B. Lawson, Quaternionic reduction and quaternionic orbifolds,Math. Ann., 282 (1988), 1-21.
5) N. J. Hitchin, Metrics on moduli spaces, in Proceedings of the Lefschez Centennial Conference (Contemporary Math, 58, Part I), A. M. S., Providence, R. I., 1986.
6) N. J. Hitchin, A. Karlhede, U. Lindström and M. Rocek, Hyperkähler metrics and supersymmetry, Comm. Math. Phys., 108 (1987), 535-589.
7) M. Itoh, Gauge fields and quaternion structure, Kodai Math. J., 11 (1988), 344-360.
8) P. B. Kronheimer, The construction of ALE spaces as hyper-kähler quotients, J. Diff. Geom., 29 (1989), 665-683.
9) P. B. Kronheimer and H. Nakajima, Yang-Mills instantons on ALE gravitational instantons, Math. Ann., 288 (1990), 263-307.
10) S. Mukai, Duality between D(X) and D(X), with applications to Picard sheaves, Nagoya Math. J., 81 (1981), 153-175.
11) H. Nakajima, Moduli spaces of anti-self-dual connections on ALE gravitational instantons, Invent. Math., 102 (1990), 267-303.
12) T. Nitta, Yang-Mills connections on quaternionic Kähler quotients, Proc. Japan Acad., 66 (1990), 245-247.
13) H. Schenk, On a generalised Fourier transform of instantons over flat tori, Comm. Math. Phys., 116 (1988), 177-183.
14) A. F. Swann, Aspects symplectique de la géométrie quaternionique, C. R. Acad. Sci. Paris, 308 (1989), 225-228.

Right : [1] A. L. Besse, Einstein Manifolds, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, 1987.
[2] P. J. Braam and P. van Baal, Nahm's transformation for instantons, Comm. Math. Phys., 122 (1989), 267-280.
[3] D. S. Freed and K. K. Uhlenbeck, Instantons and four-manifolds, MSRI Publ., 1, Springer-Verlag, 1984.
[4] K. Galicki and H. B. Lawson, Quaternionic reduction and quaternionic orbifolds,Math. Ann., 282 (1988), 1-21.
[5] N. J. Hitchin, Metrics on moduli spaces, in Proceedings of the Lefschez Centennial Conference (Contemporary Math, 58, Part I), A. M. S., Providence, R. I., 1986.
[6] N. J. Hitchin, A. Karlhede, U. Lindström and M. Rocek, Hyperkähler metrics and supersymmetry, Comm. Math. Phys., 108 (1987), 535-589.
[7] M. Itoh, Gauge fields and quaternion structure, Kodai Math. J., 11 (1988), 344-360.
[8] P. B. Kronheimer, The construction of ALE spaces as hyper-kähler quotients, J. Diff. Geom., 29 (1989), 665-683.
[9] P. B. Kronheimer and H. Nakajima, Yang-Mills instantons on ALE gravitational instantons, Math. Ann., 288 (1990), 263-307.
[10] S. Mukai, Duality between D(X) and D(X), with applications to Picard sheaves, Nagoya Math. J., 81 (1981), 153-175.
[11] H. Nakajima, Moduli spaces of anti-self-dual connections on ALE gravitational instantons, Invent. Math., 102 (1990), 267-303.
[12] T. Nitta, Yang-Mills connections on quaternionic Kähler quotients, Proc. Japan Acad., 66 (1990), 245-247.
[13] H. Schenk, On a generalised Fourier transform of instantons over flat tori, Comm. Math. Phys., 116 (1988), 177-183.
[14] A. F. Swann, Aspects symplectique de la géométrie quaternionique, C. R. Acad. Sci. Paris, 308 (1989), 225-228.

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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