I. M. Nikonov

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Person:289733

Available identifiers

zbMath Open nikonov.igor-mikhailovichMaRDI QIDQ289733

List of research outcomes

PublicationDate of PublicationType
Maps to virtual braids and braid representations2023-11-29Paper
Relative Rota--Baxter operators on groups and Hopf algebras2023-11-15Paper
Photography principle, data transmission, and invariants of manifolds2023-07-07Paper
Intersection formulas for parities on virtual knots2023-06-12Paper
The groups $\Gamma_{n}^{4}$, braids, and $3$-manifolds2023-05-10Paper
Weight systems of framed chord diagrams corresponding to Lie algebras2023-04-20Paper
Group-valued invariant of knots in the full torus2023-03-10Paper
On an invariant of pure braids2023-03-08Paper
Local transformations and functorial maps2023-01-29Paper
On universal parity on free two-dimensional knots2022-10-31Paper
Maps from knots in the cylinder to flat-virtual knots2022-10-18Paper
Maps from braids to virtual braids and braid representations2022-10-13Paper
Parity functors2022-08-02Paper
Virtual index cocycles and invariants of virtual links2022-06-14Paper
Parity on based matrices2022-05-17Paper
A group-valued invariant of knots in the full torus2022-03-21Paper
Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups $$\Gamma _{n}^{k}$$2022-01-05Paper
Khovanov–Lipshitz–Sarkar homotopy type for links in thickened higher genus surfaces2021-12-15Paper
On groups Gnk and Γnk: A study of manifolds, dynamics, and invariants2021-11-09Paper
Crossing indices, traits and the principle of indistinguishability2021-10-27Paper
Crossing tribes of tangles in a thickened surface2021-10-24Paper
Khovanov-Lipshitz-Sarkar homotopy type for links in thickened surfaces and those in $S^3$ with new modulis2021-09-19Paper
On biquandles for the groups $G_n^k$ and surface singular braid monoid2020-11-23Paper
Invariants and Pictures2020-05-25Paper
Description of degenerate two-dimensional singularities with single critical point2020-01-23Paper
The diagram approach in knot theory and applications to graph theory2018-10-10Paper
https://portal.mardi4nfdi.de/entity/Q53583282017-09-20Paper
Extremal networks in $ \lambda$-geometry, where $ \lambda=3,4,6$2017-08-23Paper
Height atoms whose symmetry groups act transitively on their vertex sets2017-07-18Paper
The length of an extremal network in a normed space: Maxwell formula2016-05-31Paper
Weak parities and functorial maps2016-05-31Paper
Homotopical Khovanov homology2016-01-18Paper
On braids and groups Gnk2016-01-18Paper
Hopf cyclic cohomology and Chern character of equivariant \(K\)-theories2015-11-17Paper
The structure of the Hopf cyclic (co)homology of algebras of smooth functions2015-07-03Paper
Graph-Links: The State of the Art2015-06-02Paper
A new proof of Vassiliev's conjecture2014-11-21Paper
Parity in knot theory and graph-links2014-10-13Paper
Virtual knot invariants arising from parities2014-02-03Paper
Maximally symmetric height atoms2013-07-24Paper
Khovanov homology of graph-links2012-11-23Paper
Functorial maps and weak parities2012-11-02Paper
https://portal.mardi4nfdi.de/entity/Q35824722010-09-02Paper
Pairings in Hopf cyclic cohomology of algebras and coalgebras with coefficients2010-06-11Paper
Odd Khovanov homology of principally unimodular bipartite graph-links2010-06-01Paper
Universal Karoubi characteristic classes of nuclear \(C^*\)-algebras2010-01-15Paper
Maximally symmetric cell decompositions of surfaces and their coverings2009-02-05Paper
https://portal.mardi4nfdi.de/entity/Q53853272008-05-05Paper
https://portal.mardi4nfdi.de/entity/Q34264532007-03-09Paper
Sets admitting connection by graphs of finite length2005-12-14Paper
Universal Karoubi characteristic classes of approximately finite algebras2005-09-28Paper
https://portal.mardi4nfdi.de/entity/Q56932192005-09-22Paper
Characteristic classes of semisimple algebras.2005-08-05Paper
Example of a non-trivial characteristic class for the group algebra \(\mathbb C[\mathbb Z_3\)]2004-03-21Paper
Woronowicz differential calculus for dihedral groups2004-03-21Paper
https://portal.mardi4nfdi.de/entity/Q31280501997-09-24Paper

Research outcomes over time


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