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Pajitnov Andrey Vladimirovich

Publications in Math-Net.Ru

  1. Morse–Novikov theory, Heegaard splittings, and closed orbits of gradient flows

    Algebra i Analiz, 26:3 (2014),  131–158
  2. Novikov homology, twisted Alexander polynomials, and Thurston cones

    Algebra i Analiz, 18:5 (2006),  173–209
  3. On closed orbits of gradient flows for circle-valued mappings

    Algebra i Analiz, 14:3 (2002),  186–240
  4. Morse–Novikov number of knots and links

    Algebra i Analiz, 13:3 (2001),  105–118
  5. Simple homotopy type of the Novikov complex and the Lefschetz $\zeta$-function of a gradient flow

    Uspekhi Mat. Nauk, 54:1(325) (1999),  117–170
  6. Rationality of boundary operators in the Novikov complex in general position

    Algebra i Analiz, 9:5 (1997),  92–139
  7. Exactness of Novikov-type inequalities for the case $\pi_1M=\mathbf{Z}^m$ and for Morse forms whose cohomology classes are in general position

    Dokl. Akad. Nauk SSSR, 306:3 (1989),  544–548
  8. Modules over some localizations of the ring of Laurent polynomials

    Mat. Zametki, 46:5 (1989),  40–49
  9. On the sharpness of Novikov type inequalities for manifolds with free Abelian fundamental group

    Mat. Sb., 180:11 (1989),  1486–1523
  10. Proof of a conjecture of Novikov on homology with local coefficients over a field of finite characteristic

    Dokl. Akad. Nauk SSSR, 300:6 (1988),  1316–1320
  11. Pseudo-$K$-theories modulo $p$ and higher Milnor operations

    Mat. Zametki, 43:1 (1988),  12–24
  12. An analytic proof of the real part of Novikov's inequalities

    Dokl. Akad. Nauk SSSR, 293:6 (1987),  1305–1307
  13. On commutative ring spectra of characteristic 2

    Mat. Sb. (N.S.), 124(166):4(8) (1984),  486–494
  14. Uniqueness theorems for generalized cohomology theories

    Dokl. Akad. Nauk SSSR, 271:1 (1983),  47–49
  15. Uniqueness theorems for generalized cohomology theories

    Izv. Akad. Nauk SSSR Ser. Mat., 47:3 (1983),  518–543

  16. Letter to the Editor

    Mat. Sb., 181:11 (1990),  1580


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