knots,
links,
singular links (=link maps),
cobordism,
pseudo-homotopy,
Milnor groups and invariants of links.
Main publications:
V. M. Nezhinskij, “Singular links of spheres of dimensions $k,\dots,k,p$ in $2k+1$-sphere”, Algebra and Analiz, 11:1 (1999), 171–243; English translation: St. Petersburg Math. J., 11:1 (2000), 129–181
V. M. Nezhinskij, “An analog of Milnor group of a link in the higher-dimensional link theory”, Journal of Mathematical Sciences, 104:4 (2001), 1364–1373
V. M. Nezhinskii, M. Petrov, “Disk-band graphs in the theory of framed tangles”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:3 (2024), 489–494
2023
2.
V. M. Nezhinskii, “Kindred diagrams”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:4 (2023), 713–719
2021
3.
V. M. Nezhinskij, “Spatial graphs and their isotopy classification”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1390–1396
V. M. Nezhinskij, V. V. Nesterenok, “Multiplication of classical knots”, Zap. Nauchn. Sem. POMI, 476 (2018), 134–142
2017
7.
V. M. Nezhinskij, Yu. V. Maslova, “Framings of spatial graphs”, Zap. Nauchn. Sem. POMI, 464 (2017), 88–94; J. Math. Sci. (N. Y.), 236:5 (2019), 527–531
V. M. Nezhinskij, Yu. V. Maslova, “Graphs with framed vertices”, Zap. Nauchn. Sem. POMI, 415 (2013), 103–108; J. Math. Sci. (N. Y.), 212:5 (2016), 584–586
Yu. V. Maslova, V. M. Nezhinskij, “Two-chord framings of maximal trees”, Zap. Nauchn. Sem. POMI, 415 (2013), 91–102; J. Math. Sci. (N. Y.), 212:5 (2016), 577–583
V. M. Nezhinskii, Yu. V. Maslova, “A homotopy classification of three-component singular links of graphs”, Uspekhi Mat. Nauk, 63:5(383) (2008), 195–196; Russian Math. Surveys, 63:5 (2008), 976–977
11.
V. M. Nezhinskii, “Multidimensional analogue of Gusarov's theory of one-dimensional knots”, Uspekhi Mat. Nauk, 63:1(379) (2008), 165–166; Russian Math. Surveys, 63:1 (2008), 166–167
2003
12.
V. M. Nezhinskii, Yu. V. Petrova, “Singular links of two circles and a wedge of circles in the 3-sphere”, Zap. Nauchn. Sem. POMI, 299 (2003), 295–299; J. Math. Sci. (N. Y.), 131:1 (2005), 5425–5427
V. M. Nezhinskii, “Singular links of almost metastable dimensions”, Zap. Nauchn. Sem. POMI, 299 (2003), 287–294; J. Math. Sci. (N. Y.), 131:1 (2005), 5420–5424
1999
14.
V. M. Nezhinskii, “Singular links of spheres of dimensions $k,\dots,k,p$ in the $(2k+1)$-dimensional sphere”, Algebra i Analiz, 11:1 (1999), 171–243; St. Petersburg Math. J., 11:1 (2000), 129–181
V. M. Nezhinskii, “Analogue of Milnor link group in higher-dimensional link theory”, Zap. Nauchn. Sem. POMI, 252 (1998), 175–190; J. Math. Sci. (New York), 104:4 (2001), 1364–1373
V. M. Nezhinskij, “Singular links of type $(p,2k+1)$ in the $4k+2$-sphere. II”, Zap. Nauchn. Sem. POMI, 231 (1995), 191–196; J. Math. Sci. (New York), 91:6 (1998), 3456–3459
V. M. Nezhinskii, “Singular links of $(p,2k+1)$-type in a $(4k+2)$-dimensional sphere”, Algebra i Analiz, 5:4 (1993), 170–190; St. Petersburg Math. J., 5:4 (1994), 809–826
V. M. Nezhinskij, “Pseudo-homotopy of links of codimensions greater than two”, Zap. Nauchn. Sem. POMI, 208 (1993), 136–151; J. Math. Sci., 81:2 (1996), 2538–2548
V. M. Nezhinskii, “A suspension sequence in the theory of links”, Izv. Akad. Nauk SSSR Ser. Mat., 48:1 (1984), 127–154; Math. USSR-Izv., 24:1 (1985), 121–150
V. M. Nezhinskii, “Some calculations in the theory of multidimensional links”, Sibirsk. Mat. Zh., 24:4 (1983), 104–115; Siberian Math. J., 24:4 (1983), 576–586
V. M. Nezhinskii, “A generalization of the Zeeman–Haefliger theorem on linkages”, Uspekhi Mat. Nauk, 35:5(215) (1980), 235–236; Russian Math. Surveys, 35:5 (1980), 265–266
1978
25.
V. M. Nezhinskii, “Superstructure sequences in the theory of linkages”, Uspekhi Mat. Nauk, 33:5(203) (1978), 193–194; Russian Math. Surveys, 33:5 (1978), 201–202