Morse-Novikov theory, Heegaard splittings and closed orbits of gradient flows
(with H. Goda),
Algebra i Analiz,
26:3 (2014), 131 -- 158.
arXiv
Novikov homology, jump loci and Massey products (with T. Kohno),
Cent. Eur. J. Math 12(9), 2014, 1285 - 1304,
arXiv
Circle-valued Morse theory for complex hyperplane arrangements
(with T. Kohno),
Forum Mathematicum, published online 2013-07-13.
arXiv
On the tunnel number and the Morse-Novikov number of knots,
Algebraic & Geometric Topology,
Vol. 10, 2010, p. 627-635.
arXiv
Dynamics of gradient flows in the half-transversal Morse theory
(with H.Goda),
Proc. Jpn. Acad.,
Ser. A, Vol. 85, 6-10 (2009) pdf
Novikov Homology, twisted Alexander
polynomials and Thurston cones,
Algebra i Analiz, vol. 18 No. 5, 2006. pdf
Twisted Novikov homology and circle-valued Morse theory for knots and links
(with H.Goda),
Osaka Journal of Mathematics, vol. 42 No. 3, 2005. ps
Counting closed orbits of gradients of circle-valued maps,
Algebra i Analiz (in Russian), vol. 14 No. 3, 2002. English
translation:
St. Petersburg Math. J., vol. 14. No. 3, 2003. ps
Morse-Novikov number for knots and links, (with L.Rudolph
et C.Weber),
Algebra i Analiz (in Russian), vol. 13 No. 3, 2001. English
translation:
St. Petersburg Math. J., vol. 13. No. 3, 2002, p. 417 - 426.
ps
The Whitehead group of the Novikov ring, (with A.Ranicki),
K-theory, vol. 21. No. 4, 2000, p. 325 - 325. ps
Closed orbits of gradient flows and logarithms of non-abelian Witt
vectors,
K-theory , vol. 21. No. 4, 2000, p. 301 - 324. ps
C^0-generic properties of boundary operators in the Novikov complex,
AMS Translations, vol. 197, 1999, p. 28 - 117 ps
Simple homotopy type of Novikov complex and zeta function of the
gradient flow,
Russian Mathematical Surveys, vol. 54, No 7, 1999. ps,
On the asymptotics of Morse numbers of finite covers of manifolds,
Topology, vol.38, No3 , 1999, p.529 -- 543. ps
The incidence coefficients in the Novikov complex are generically
rational functions,
Algebra i Analiz (in Russian) v.9, 1997, p. 102 -- 155. English
translation:
Sankt - Petersbourg Mathematical journal, vol.9 (1998), no.
5 p. 969 -- 1006. ps
Surgery on the Novikov complex,
Preprint: Université de Nantes, Rapport de Recherche,
93/01-2, 1993. Ch
1-4 (pdf), Ch 5-9 (pdf)
Publication: K-theory, vol. 14, (1996), p. 323 --
412. ps
Rationality and exponential growth properties of the boundary operators
in the Novikov complex,
Mathematical Research Letters, vol. 3, (1996), p. 541 -- 548.
ps
On the Novikov complex for Rational Morse Forms,
Preprint: Institut for Matematik og Datalogi, October 1991,
Odense Universitet Preprints 1991, No 12 TSSN No. 0903-3920,
pdf
Publication: Annales de la Faculté des Scinences de Toulouse,
Vol. 4 , 1995, p 297 -- 337, pdf
On the sharpness of Novikov type inequalities for
manifolds with free abelian fundamental group,
Math. USSR Sbornik,
Vol. 68(1991), No. 2. pdf
Proof of Novikov's conjecture on homology with local coefficients
over a field of finite characteristic,
Soviet Math. Dokl,
vol. 37, (1988), p. 824 -- 828. pdf