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A splicing formula for Casson-Walker's invariant

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References

  1. Boyer, S., Lines, D.: Surgery formulae for Casson's invariant and extension to homology lens spaces. J. Reine Angew. Math.405, 181–220 (1990)

    Google Scholar 

  2. Boyer, S., Nicas, A.: Varieties of group representations and Casson's invariant for rational homology 3-spheres. Trans. Am. Math. Soc.332, (No. 2), 507–522 (1990)

    Google Scholar 

  3. Eisenbud, D., Neumann, W.: Three-dimensional link theory and invariants of plane curve singularities. (Ann. Math. Stud., vol. 110) Princeton, NJ: Princeton University Press and University of Tokyo 1985

    Google Scholar 

  4. Fukuhara, S., Matsumoto, Y., Sakamoto, K.: Casson's invariant of Seifert homology 3-spheres. Math. Ann.287, 275–285 (1990)

    Google Scholar 

  5. Fukuhara, S., Maruyama, N.: A sum formula for Casson's λ-invariant. Tokyo J. Math.11 (No. 2), 281–287 (1988)

    Google Scholar 

  6. Gordon, C.: Dehn surgery and satellite knots. Trans. Am. Math. Soc.275 (No. 2), 687–708 (1983)

    Google Scholar 

  7. Gordon, C.: Knots, homology spheres and contractible 4-manifolds. Topology14, 151–172 (1975)

    Google Scholar 

  8. Grosswald, E., Rademacher, H.: Dedekind sums. (Carus Math. Monogr., no. 16) Washington: Math. Assoc. Am.

  9. Jaco, W., Shalen, P.: Seifert fibered spaces in 3-manifolds. Mem. Am. Math. Soc.220 (1979)

  10. Johannson, K.: Homotopy equivalences of 3-manifolds with boundaries. (Lect. Notes Math., vol. 761) Berlin Heidelberg New York: Springer 1979

    Google Scholar 

  11. Lescop, C.: Invariant de Casson-Walker des sphères d'homologie rationnelle fibrées de Seifert. C.R. Acad. Sci., Paris, Sér. I310, 727–730 (1990)

    Google Scholar 

  12. Milnor, J.: Infinite cyclic coverings. In: Conf. Topology of Manifolds, pp. 115–133. Boston London Sydney: Prindle, Weber & Schmidt 1968

    Google Scholar 

  13. Milnor, J.: Singular points of complex hypersurfaces (Ann. Math. Stud., vol. 61) Princeton, NJ: Princeton University Press and University of Tokyo Press 1968

    Google Scholar 

  14. Neumann, W., Wahl, J.: Casson invariant of links of singularities. Comment. Math. Helv.65, 58–78 (1990)

    Google Scholar 

  15. Thurston, W.: A norm for the homology of 3-manifolds. Mem. Am. Math. Soc.339, 99–130 (1986)

    Google Scholar 

  16. Walker, K.: An extension of Casson's invariant. Thesis, University of California at Berkely (1990), p. 11

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Fujita, G. A splicing formula for Casson-Walker's invariant. Math. Ann. 296, 327–338 (1993). https://doi.org/10.1007/BF01445108

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