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An equivariant analogue of the index of a gradient vector field

Part of the Lecture Notes in Mathematics book series (LNM,volume 1214)

Keywords

  • Homology Group
  • Morse Index
  • Distinguished Basis
  • Equivariant Index
  • Boundary Singularity

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References

  1. Guseǐn-Zade S.M., The index of a singular point of a gradient vector field. Functional Anal.Appl., 1984, v.18, N I, 7–12 (in Russian)

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  2. Guseǐn-Zade S.M., The monodromy groups of isolated singularities of hypersurfaces. Uspekhi Mat.Nauk, 1977, v.32, N 2, 23–65 (in Russian. See English transl. in Russian Math. Surveys).

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  3. Arnol’d V.I., Indices of singular points of I-forms on a manifold with boundary, the convolution of invariants of groups generated by reflectiones and singular projections of smooth surfaces. Uspekhi Mat.Nauk, 1979, v.34, N 2, 3–38 (in Russian. See English transl. in Russian Math.Surveys).

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  4. Arnol’d V.I., Critical points of functions on manifolds with boundary, simple Lie groups Bk,Ck,F4 and evolute singularities. Uspekhi Mat.Nauk, 1978, v.33, N 5, 91–105 (in Russian. See English transl. in Russian Math.Surveys).

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  5. Adams J.F., Lectures on Lie groups, New York-Amsterdam: W.A.Benjamin Inc., 1969.

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© 1986 Springer-Verlag

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Guseǐn-Zade, S.M. (1986). An equivariant analogue of the index of a gradient vector field. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis — Studies and Applications II. Lecture Notes in Mathematics, vol 1214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075966

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  • DOI: https://doi.org/10.1007/BFb0075966

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  • Print ISBN: 978-3-540-16821-8

  • Online ISBN: 978-3-540-47084-7

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