Differential Topology pp 109-121 | Cite as
The enhanced Milnor number in higher dimensions
Linking Phenomena And 3-Dimensional Topology
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Keywords
Homotopy Class Lower Triangular Matrix Grothendieck Group Fibered Link Milnor Number
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References
- [D1]Durfee, A., “Fibered knots and algebraic singularities,” Topology 13 (1974), 47–59.MathSciNetCrossRefMATHGoogle Scholar
- [D2]Durfee, A., “Diffeomorphism classification of isolated hypersurface singularities,” Dissertation, Cornell, 1971.Google Scholar
- [G]Gabai, David, “Murasugi sum is a natural geometric operation, II,” Contemp. Math. 44 (1985), 93–100.MathSciNetCrossRefMATHGoogle Scholar
- [H]Harer, John, “How to construct all fibered knots and links,” Topology 21 (1982), 263–280.MathSciNetCrossRefMATHGoogle Scholar
- [J]James, I.M., “The intrinsic join: a study of the homotopy groups of Stiefel manifolds,” Proc. London Math. Soc. (3) 8 (1958), 507–535.MathSciNetCrossRefMATHGoogle Scholar
- [K-N]Kauffman, Louis H. and Neumann, Walter D., “Products of knots, branched fibrations and sums of singularities,” Topology 16 (1977), 369–393.MathSciNetCrossRefMATHGoogle Scholar
- [L]Lines, D., “Stable plumbing for high odd-dimensional knots,” Canadian J. Math. (to appear).Google Scholar
- [L-M]Lines, D., and Morales, J., “Grothendieck groups of sesquilinear forms over a ring with involution,” Math. Ann. (to appear).Google Scholar
- [M-M]Melvin, P.M. and Morton, H.R., “Fibred knots of genus 2 formed by plumbing Hopf bands,” J. London Math. Soc. (2) 34 (1986), 159–168.MathSciNetCrossRefMATHGoogle Scholar
- [M]Milnor, John, Singular Points of Complex Hypersurfaces, Ann. of Math. Studies 61 (Princeton Univ. Press. 1968).Google Scholar
- [Mu]Murasugi, K. “On a certain subgroup of the group of an alternating link,” Amer. J. Math. 85 (1963), 544–550.MathSciNetCrossRefMATHGoogle Scholar
- [N-R 1]Neumann, Walter D., and Rudolph, Lee, “Unfoldings in knot theory,” Math. Annalen 278 (1987), 409–439; Corrigendum, ibid. (to appear).MathSciNetCrossRefMATHGoogle Scholar
- [N-R 2]Neumann, Walter D., and Rudolph, Lee, “Difference index of vectorfields and the enhanced Milnor number,” preprint (1987).Google Scholar
- [R]Rudolph, Lee, “Isolated critical points of maps from IR4 to IR2 and a natural splitting of the Milnor number of a classical fibered link. Part I,” Comm. Math. Helv. 62 (1987), 630–645.MathSciNetCrossRefMATHGoogle Scholar
- [S]Stallings, J. R., “Constructions of fibred knots and links,” Proc. Symp. Pure Math. XXIII, part 2 (1978), 55–60.MathSciNetCrossRefMATHGoogle Scholar
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