Simply connected 4-manifolds of second betti number 1 bounded by homology lens spaces
ジャーナル
フリー
1989 年 41 巻 4 号 p. 593-606
詳細
- Published: 1989 Received: 1988/07/06 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: 引用文献情報 訂正内容: Wrong : 1) S. Boyer, Shake-slice knots and smooth contractible 4-manifolds, Math. Proc. Cambridge Philos. Soc., 98 (1985), 93-106.
2) S. Boyer, Simply-connected 4-manifolds with a given boundary, Trans. Amer. Math. Soc., 298 (1986), 331-357.
3) S. Donaldson, The orientation of Yang-Mills moduli spaces and 4-manifold topology, J. Diff. Geom., 26 (1987), 397-428.
4) R. Fintushel and R.J. Stern, Constructing lens spaces by surgery on knots, Math. Z., 175 (1980), 33-51.
5) R. Fintushel and R.J. Stern, Pseudofree orbifolds, Ann. of Math., 122 (1985), 335-364.
6) M. Freedman, The topology of 4-manifolds, J. Duff. Geom., 17 (1982), 357-453.
7) S. Fukuhara, On an invariant of homology lens spaces, J. Math. Soc. Japan, 36 (1984), 259-277.
8) C. Gordon and R. Litherland, On the signature of a link, Invent. Math., 47 (1978), 53-69.
9) C. Gordon and J. Luecke, Knots are determined by their complements, preprint.
10) S. Kaplan, Constructing framed 4-manifolds with given almost framed boundaries, Trans. Amer. Math. Soc., 254 (1979), 237-263.
11) K. Kuga, Representing homology classes of S2×S2, Topology, 23 (1984), 133-137.
12) T. Lawson, Representing homology classes of almost definite 4-manifolds, Michigan Math. J., 34 (1987), 85-91.
13) Y. Matsumoto, On the bounding genus of homology 3-spheres, J. Fac. Sci. Univ. Tokyo, 29(1982), 287-318.
14) J. Milnor and D. Husemoller, Symmetric bilinear forms, Springer, New York, 1973.
15) E. Moise, Affine structures on 3-manifolds, Ann. of Math., 56 (1952), 96-114.
16) L. Moser, Elementary surgery along a torus knot, Pacific J. Math., 38 (1971), 737-745.
17) P. Ribenboim, Algebraic numbers, Wiley-Interscience, New York-London-Sydney-Toronto, 1972.
18) D. Rolfsen, Knots and links, Publish or Perish Inc., Berkeley, 1976.
Right : [1] S. Boyer, Shake-slice knots and smooth contractible 4-manifolds, Math. Proc. Cambridge Philos. Soc., 98 (1985), 93-106.
[2] S. Boyer, Simply-connected 4-manifolds with a given boundary, Trans. Amer. Math. Soc., 298 (1986), 331-357.
[3] S. Donaldson, The orientation of Yang-Mills moduli spaces and 4-manifold topology, J. Diff. Geom., 26 (1987), 397-428.
[4] R. Fintushel and R. J. Stern, Constructing lens spaces by surgery on knots, Math. Z., 175 (1980), 33-51.
[5] R. Fintushel and R. J. Stern, Pseudofree orbifolds, Ann. of Math., 122 (1985), 335-364.
[6] M. Freedman, The topology of 4-manifolds, J. Duff. Geom., 17 (1982), 357-453.
[7] S. Fukuhara, On an invariant of homology lens spaces, J. Math. Soc. Japan, 36 (1984), 259-277.
[8] C. Gordon and R. Litherland, On the signature of a link, Invent. Math., 47 (1978), 53-69.
[9] C. Gordon and J. Luecke, Knots are determined by their complements, preprint.
[10] S. Kaplan, Constructing framed 4-manifolds with given almost framed boundaries, Trans. Amer. Math. Soc., 254 (1979), 237-263.
[11] K. Kuga, Representing homology classes of S2×S2, Topology, 23 (1984), 133-137.
[12] T. Lawson, Representing homology classes of almost definite 4-manifolds, Michigan Math. J., 34 (1987), 85-91.
[13] Y. Matsumoto, On the bounding genus of homology 3-spheres, J. Fac. Sci. Univ. Tokyo, 29 (1982), 287-318.
[14] J. Milnor and D. Husemoller, Symmetric bilinear forms, Springer, New York, 1973.
[15] E. Moise, Affine structures on 3-manifolds, Ann. of Math., 56 (1952), 96-114.
[16] L. Moser, Elementary surgery along a torus knot, Pacific J. Math., 38 (1971), 737-745.
[17] P. Ribenboim, Algebraic numbers, Wiley-Interscience, New York-London-Sydney-Toronto, 1972.
[18] D. Rolfsen, Knots and links, Publish or Perish Inc., Berkeley, 1976.
訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
PDFをダウンロード (1201K)
メタデータをダウンロード
RIS形式
BIB TEX形式
テキスト
メタデータのダウンロード方法
発行機関連絡先
(EndNote、Reference Manager、ProCite、RefWorksとの互換性あり)
(BibDesk、LaTeXとの互換性あり)
記事の1ページ目
