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Casson invariant of links of singularities

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Commentarii Mathematici Helvetici

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References

  • [A1]M. Atiyah, New invariants of 3- and 4-manifolds,The Mathematical Heritage of Herman Weyl, Proc. Symp. Pure Math.48 (1988), 285–300.

    Article  MathSciNet  Google Scholar 

  • [B]E. Brieskorn,Beispiele zur Differenzialtopologie von Singularitäten, Invent. Math.2 (1966), 1–14.

    Article  MathSciNet  MATH  Google Scholar 

  • [B-L]S. Boyer andD. Lines, Surgery formulae for Casson's invariant and extensions to homology lens spaces, Rapport de recherchen o 66, Université du Québec à Montréal, 2 novembre 1988.

  • [B-N]S. Boyer andA. Nicas,Varieties of group representations and Casson's invariant for rational homology 3-spheres, Trans. Amer. Math. Soc. (to appear).

  • [E-N]D. Eisenbud andW. Neumann,Three-Dimensional Link Theory and Invariants of Plane Curve Singularities, Ann. of Math. Studies110 (Princeton U. Press, 1985).

  • [F-S]R. Fintushel andR. J. Stern,Instanton homology of Seifert fibered homology 3-spheres, (Preprint 1988).

  • [F-M-S]S. Fukuhara, Y. Matsumoto andK. Sakamoto,Casson's invariant of Seifert homology 3-spheres, Preprint

  • [G]L. Greenberg, Homomorphisms of triangle groups into PSL(2, ℂ),Riemannian surfaces and related topics: Proc. of the 1978 Stony Brook Conference, Annals of Math. Studies97 (Princeton University Press 1981), 167–181.

  • [H1]F. Hirzebruch,The signature theorem: reminiscences and recreations, Prospects in Mathematics, Ann. of Math. Studies70 (Princeton U. Press, 1971), 3–31.

  • [H2]F. Hirzebruch, Pontryagin classes of rational homology manifolds and the signature of some affine hypersurfaces,Proceedings of the Liverpool Singularities Symposium II (ed. C. T. C. Wall), Lecture Notes in Math.209 (Springer Verlag 1971), 207–212.

  • [H-Z]F. Hirzebruch andD. Zagier,The Atiyah Singer Theorem and Elementary Number Theory, Lecture Series3 (Publish or Perish Inc., Boston, Berkeley, 1974).

    MATH  Google Scholar 

  • [K-N]L. Kauffman andW. D. Neumann,Product of knots, branched fibrations, and sums of singularities, Topology16 (1977), 369–393.

    Article  MathSciNet  MATH  Google Scholar 

  • [K]C. Kearton,The Milnor signatures of compound knots, Proc. Amer. Math. Soc.76 (1979), 157–160.

    Article  MathSciNet  MATH  Google Scholar 

  • [L]R. A. Litherland,Signatures of iterated torus knots, Topology of Low Dimensional Manifolds, Proceedings, Sussex 1974, Lecture Notes in Math.722 (Springer Verlag 1974, 71–84.

  • [L-W]E. Looijenga andJ. Wahl,Quadratic functions and smoothing surface singularities, Topology25 (1986), 261–291.

    Article  MathSciNet  MATH  Google Scholar 

  • [M]J. Milnor,On isometries of inner product spaces, Invent. Math.8 (1969), 83–97.

    Article  MathSciNet  MATH  Google Scholar 

  • [Mo]L. J. Mordell,Lattice points in a tetrahedron and generalized Dedekind sums, J. Indian Math. Soc.15 (1951), 41–46.

    MathSciNet  MATH  Google Scholar 

  • [N1]W. D. Neumann,A calculus for plumbing applied to the topology of complex surface singularities and degenerating complex curves. Trans. Amer. Math. Soc.268 (1981), 299–344.

    Article  MathSciNet  MATH  Google Scholar 

  • [N2]W. D. Neumann,Abelian covers of quasihomogeneous surface singularities, Singularities, Arcata 1981, Proc. Symp. Pure Math.40 (Amer. Math. Soc. 1983), 233–243.

    Article  Google Scholar 

  • [N-R]W. D. Neumann andF. Raymond,Seifert manifolds, plumbing, μ-invariant, and orientation reversing maps, Algebraic and Geometric Topology, Lecture Notes in Math.664 (Springer Verlag 1978), 162–194.

  • [Sh]Y. Shinohara,On the signature of knots and links, Trans. Amer. Math. Soc.156 (1971), 273–285.

    Article  MathSciNet  MATH  Google Scholar 

  • [Si]L. Siebenmann,On vanishing of the Rohlin invariant and non-finitely amphicheiral homology 3-spheres, Topology Symposium Siegen 1979 (Koschorke and Neumann, eds.), Lecture Notes in Math.788 (Springer Verlag 1979).

  • [W]K. Walker,An extension of Casson's invariant, Thesis, University of California at Berkeley (in preparation; preliminary draft Dec. 13, 1988)

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Neumann, W., Wahl, J. Casson invariant of links of singularities. Commentarii Mathematici Helvetici 65, 58–78 (1990). https://doi.org/10.1007/BF02566593

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