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Relative morse theory of one-dimensional bundles and cyclic homology

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References

  1. V. I. Arnold, V. V. Goryunov, O. V. Lyashko, and V. A. Vassiliev, Singularities. I, in: Dynamical Systems, VI, Springer-Verlag, 1991.

  2. M. È. Kazarian, “Characteristic classes of singularity theory,” in: Geometry and Singularity Theory, Arnold-Gelfand Seminar, V. I. Arnold, I. M. Gelfand, M. M. Smirnov, eds., Birkhäuser, 1996.

  3. M. È. Kazarian, “Singularities of functions on the circle and relative Morse theory,” to appear.

  4. M. È. Kazarian, “The Chern-Euler number of circle bundle via singularity theory,” to appear.

  5. J.-L. Loday, Cyclic Homology, Grundlehren der Mathematischen Wissentschaften, Vol. 301, Springer-Verlag, 1992.

  6. R. Thom, “Generalisation de la theorie de Morse aux variétés feuilletées,” Ann. Inst. Fourier (Grenoble),14, 173–190 (1964).

    MATH  MathSciNet  Google Scholar 

  7. V. A. Vassiliev, Lagrange and Legendre Characteristic Classes, 2nd edition, Gordon and Breach, 1993.

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Supported by the INTAS under grant 4373 and by the Russian Foundation for Basic Researches (project No. 95-01-01122a).

Independent Moscow University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 31, No. 1, pp.20–31, January–March, 1997.

Translated by M. È. Kazarian

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Kazarian, M.È. Relative morse theory of one-dimensional bundles and cyclic homology. Funct Anal Its Appl 31, 16–24 (1997). https://doi.org/10.1007/BF02466000

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  • DOI: https://doi.org/10.1007/BF02466000

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