I. Nikonov

发表

Parity in knot theory and graph-links

V. Manturov, D. Ilyutko, I. Nikonov, 2013 .

Extremal networks in -geometry, where

I. Nikonov, D. P. Ilyutko, 2017 .

Group-valued invariant of knots in the full torus

V. Manturov, I. Nikonov, 2022, Journal of Knot Theory and Its Ramifications.

Functorial maps and weak parities

I. Nikonov, 2012, 1211.0403.

Hopf cyclic cohomology and Chern character of equivariant K-theories

G. Sharygin, I. Nikonov, 2015 .

Hopf cyclic cohomology and Chern character of equivariant K-theories

G. Sharygin, I. Nikonov, 2015, Russian Journal of Mathematical Physics.

On the Hopf-type Cyclic Cohomology with Coefficients

G. Sharygin, I. Nikonov, 2006 .

Pairings in Hopf-cyclic cohomology of algebras and coalgebras with coefficients

G. Sharygin, I. Nikonov, 2006 .

Virtual index cocycles and invariants of virtual links

I. Nikonov, 2020, 2011.00248.

Crossing indices, traits and the principle of indistinguishability

I. Nikonov, 2021, 2110.14218.

Crossing tribes of tangles in a thickened surface

Igor Nikonov, I. Nikonov, 2021, 2110.12446.

Intersection formulas for parities on virtual knots

Igor Nikonov, I. Nikonov, 2021, Journal of Knot Theory and Its Ramifications.

Parity and Patterns in Low-dimensional Topology

V. Manturov, D. Ilyutko, I. Nikonov, 2015 .

Homotopical Khovanov homology

V. Manturov, I. Nikonov, 2015, 1501.04805.

Local transformations and functorial maps

I. Nikonov, 2023, 2301.12478.

Khovanov–Lipshitz–Sarkar homotopy type for links in thickened higher genus surfaces

L. Kauffman, I. Nikonov, Eiji Ogasa, 2020, Journal of Knot Theory and Its Ramifications.

Weak Parities and Functorial Maps

I. Nikonov, 2016 .

Virtual knot invariants arising from parities

V. Manturov, D. Ilyutko, I. Nikonov, 2011, 1102.5081.

Parity functors

Igor Nikonov, I. Nikonov, 2021, 2109.12230.

Parity on based matrices

Igor Nikonov, I. Nikonov, 2021, 2110.04915.

On Groups $G_{n}^{k}$ and $\Gamma_{n}^{k}$: A Study of Manifolds, Dynamics, and Invariants

V. Manturov, I. Nikonov, D. Fedoseev, 2019, 1905.08049.

On universal parity on free two-dimensional knots

Igor Nikonov, I. Nikonov, 2021, Journal of Knot Theory and Its Ramifications.

Weak Parities and Functorial Maps

I. Nikonov, 2016, Journal of Mathematical Sciences.

On braids and groups $G_n^k$

V. Manturov, I. Nikonov, 2015, 1507.03745.

Khovanov homology of graph-links

I. Nikonov, 2010, 1005.2812.

Weight Systems of Framed Chord Diagrams Corresponding to Lie Algebras

I. Nikonov, D. P. Ilyutko, 2022, Moscow University Mathematics Bulletin.

A new proof of Vassiliev's conjecture

I. Nikonov, 2013, 1306.5521.

Khovanov-Lipshitz-Sarkar homotopy type for links in thickened surfaces and those in $S^3$ with new modulis

Louis H. Kauffman, Eiji Ogasa, Igor Mikhailovich Nikonov, 2021, 2109.09245.

On biquandles for the groups $G_n^k$ and surface singular braid monoid

V. Manturov, Sang Youl Lee, I. Nikonov, 2020, 2011.11273.

Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups $$\Gamma _{n}^{k}$$

V. Manturov, I. Nikonov, D. Fedoseev, 2019, Lecture Notes in Computational Science and Engineering.

D ec 2 01 9 Manifolds of Triangulations , braid groups of manifolds and the groups

V. Manturov, I. Nikonov, D. Fedoseev, 2019 .

Maximally symmetric cell decompositions of surfaces and their coverings

A. Fomenko, E. Kudryavtseva, I. Nikonov, 2008 .

The Diagram Approach in Knot Theory and Applications to Graph Theory

I. Nikonov, D. P. Ilyutko, 2018 .

Maps from knots in the cylinder to flat-virtual knots

V. Manturov, I. Nikonov, 2022, 2210.09689.

Maps from braids to virtual braids and braid representations

V. Manturov, I. Nikonov, 2022, 2210.06862.

On groups Gnk and Γnk: A study of manifolds, dynamics, and invariants

V. Manturov, I. Nikonov, D. Fedoseev, 2021 .

Height atoms whose symmetry groups act transitively on their vertex sets

I. Nikonov, 2016 .

Height atoms whose symmetry groups act transitively on their vertex sets

I. Nikonov, 2016, Moscow University Mathematics Bulletin.