| Publication | Date of Publication | Type |
|---|
| The photography method: Solving pentagon equation | 2024-01-02 | Paper |
| Maps to virtual braids and braid representations | 2023-11-29 | Paper |
| The Dijkgraaf-Witten invariant is a partial case of the photography method | 2023-09-04 | Paper |
| Photography principle, data transmission, and invariants of manifolds | 2023-07-07 | Paper |
| Braids act on configurations of lines | 2023-06-12 | Paper |
| On approximations for \(n\) real numbers | 2023-06-09 | Paper |
| The groups $\Gamma_{n}^{4}$, braids, and $3$-manifolds | 2023-05-10 | Paper |
| Group-valued invariant of knots in the full torus | 2023-03-10 | Paper |
| On an invariant of pure braids | 2023-03-08 | Paper |
| Realisability of $G_{n}^{3}$, realisability projection, and kernel of the $G_{n}^{3}$-braid presentation | 2022-10-24 | Paper |
| Maps from knots in the cylinder to flat-virtual knots | 2022-10-18 | Paper |
| Maps from braids to virtual braids and braid representations | 2022-10-13 | Paper |
| On long knots in the full torus | 2022-04-29 | Paper |
| A group-valued invariant of knots in the full torus | 2022-03-21 | Paper |
| Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups $$\Gamma _{n}^{k}$$ | 2022-01-05 | Paper |
| Cobordism invariants for knots with two indices | 2022-01-01 | Paper |
| On groups Gnk and Γnk: A study of manifolds, dynamics, and invariants | 2021-11-09 | Paper |
| A free-group valued invariant of free knots | 2021-10-04 | Paper |
| Invariants of classical braids valued in \(G_n^2 \) | 2021-09-23 | Paper |
| Two-dimensional self-interlocking structures in three-space | 2021-09-14 | Paper |
| Studying complex manifolds by using groups Gnk and Γnk | 2021-03-06 | Paper |
| From chord parity to chord index | 2021-03-06 | Paper |
| The groups Gk+1k and fundamental groups of configuration spaces | 2020-12-02 | Paper |
| On biquandles for the groups $G_n^k$ and surface singular braid monoid | 2020-11-23 | Paper |
| An invariant of graph-links valued in graphs and an almost classification of graph-links | 2020-11-08 | Paper |
| Word and conjugacy problems in groups \(G_{k+1}^{k}\) | 2020-10-27 | Paper |
| Labels instead of coefficients: A label bracket ⋅ℒ which dominates the Jones polynomial 𝒳 ⋅, the Kuperberg bracket ⋅A2, and the normalized arrow polynomial 𝒲⋅ | 2020-05-27 | Paper |
| Picture-valued parity-biquandle bracket | 2020-05-27 | Paper |
| Invariants and Pictures | 2020-05-25 | Paper |
| A sliceness criterion for odd free knots | 2020-01-07 | Paper |
| Picture-valued parity-biquandle bracket II. Examples | 2019-11-17 | Paper |
| Artin’s braids, braids for three space, and groups Γn4 and Gnk | 2019-10-07 | Paper |
| Labels instead of coefficients: a label bracket which dominates the Jones polynomial, the Kuperberg bracket, and the normalised arrow polynomial | 2019-07-15 | Paper |
| Cobordisms of graphs: A sliceness criterion for stably odd free knots and related results on cobordisms | 2019-01-03 | Paper |
| Gnk-groups for simplicial complexes and the word problem on G2(K) | 2019-01-03 | Paper |
| Braid and knot invariants via triangulations and Ptolemy relations I | 2018-12-20 | Paper |
| Additional gradings on generalizations of Khovanov homology and invariants of embedded surfaces | 2018-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4603840 | 2018-02-19 | Paper |
| New groups and invariants of classical braids valued in $G_{n}^{2}$ | 2018-01-22 | Paper |
| The groups $ G_n^2$ and Coxeter groups | 2017-09-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5358328 | 2017-09-20 | Paper |
| The groups Gnk and fundamental groups of configuration spaces | 2017-06-20 | Paper |
| Parities on 2-knots and 2-links | 2017-01-12 | Paper |
| On groups Gnk, braids and Brunnian braids | 2016-12-21 | Paper |
| Group G_{n}^{3} and imaginary generators | 2016-12-11 | Paper |
| Invariants of Classical Braids Valued in $G_{n}^{2}$ | 2016-11-22 | Paper |
| New parities and coverings over free knots | 2016-11-17 | Paper |
| An elementary proof that classical braids embed in virtual braids | 2016-11-11 | Paper |
| On the chromatic numbers of integer and rational lattices | 2016-05-31 | Paper |
| A Note on a Map from Knots to $2$-Knots | 2016-04-22 | Paper |
| Homotopical Khovanov homology | 2016-01-18 | Paper |
| Framed 4-valent graph minor theory II: Special minors and new examples | 2016-01-18 | Paper |
| On marked braid groups | 2016-01-18 | Paper |
| A parity map of framed chord diagrams | 2016-01-18 | Paper |
| On braids and groups Gnk | 2016-01-18 | Paper |
| The group Gn2 and invariants of free links valued in free groups | 2016-01-18 | Paper |
| On Groups $G_{n}^{2}$ and Coxeter Groups | 2015-12-31 | Paper |
| Reidemeister moves and groups | 2015-11-09 | Paper |
| One-term parity bracket for braids | 2015-11-09 | Paper |
| Monodromy, groups, and picture-valued invariants of link | 2015-09-28 | Paper |
| Graphical constructions for the sl(3), C2 and G2 invariants for virtual knots, virtual braids and free knots | 2015-08-06 | Paper |
| Invariants of homotopy classes of curves and graphs on 2-surfaces | 2015-07-31 | Paper |
| Graph-Links: The State of the Art | 2015-06-02 | Paper |
| Virtual knots and links | 2015-05-11 | Paper |
| A graphical construction of the sl(3) invariant for virtual knots | 2015-04-14 | Paper |
| Unsolved problems in virtual knot theory and combinatorial knot theory | 2015-02-04 | Paper |
| Non-Reidemeister Knot Theory and Its Applications in Dynamical Systems, Geometry, and Topology | 2015-01-21 | Paper |
| Framed 4-valent graph minor theory I: Introduction. A planarity criterion and linkless embeddability | 2014-11-21 | Paper |
| Checkerboard embeddings of *-graphs into nonorientable surfaces | 2014-11-21 | Paper |
| Parity in knot theory and graph-links | 2014-10-13 | Paper |
| Virtual knot invariants arising from parities | 2014-02-03 | Paper |
| An almost classification of free knots | 2014-01-24 | Paper |
| An invariant of links in a thickened torus | 2014-01-17 | Paper |
| FIBERED KNOTS AND VIRTUAL KNOTS | 2014-01-14 | Paper |
| EMBEDDINGS OF *-GRAPHS INTO 2-SURFACES | 2014-01-14 | Paper |
| GRAPH-VALUED INVARIANTS OF VIRTUAL AND CLASSICAL LINKS AND MINIMALITY PROBLEM | 2014-01-14 | Paper |
| PARITY AND PROJECTION FROM VIRTUAL KNOTS TO CLASSICAL KNOTS | 2013-09-30 | Paper |
| On long virtual knots | 2013-09-24 | Paper |
| Virtual Knots | 2012-11-23 | Paper |
| PARITY AND EXOTIC COMBINATORIAL FORMULAE FOR FINITE-TYPE INVARIANTS OF VIRTUAL KNOTS | 2012-11-22 | Paper |
| VIRTUAL CROSSING NUMBERS FOR VIRTUAL KNOTS | 2012-11-22 | Paper |
| MARKOV THEOREM FOR FREE LINKS | 2012-11-22 | Paper |
| Embeddings of 4-valent framed graphs into 2-surfaces | 2012-11-15 | Paper |
| Parity and cobordism of free knots | 2012-05-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2884336 | 2012-05-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2884341 | 2012-05-25 | Paper |
| Parity, free knots, groups, and invariants of finite type | 2012-04-20 | Paper |
| Free knots and groups | 2011-03-17 | Paper |
| On Two Categorifications of the Arrow Polynomial for Virtual Knots | 2011-02-28 | Paper |
| Embeddings of Four-valent Framed Graphs into 2-surfaces | 2011-02-28 | Paper |
| Parity and Relative Parity in Knot Theory | 2010-12-30 | Paper |
| A Functorial Map from Virtual Knots to Classical Knots and Generalisations of Parity | 2010-11-21 | Paper |
| Parity in knot theory | 2010-09-30 | Paper |
| Compact and long virtual knots | 2010-08-13 | Paper |
| FREE KNOTS AND GROUPS | 2010-05-10 | Paper |
| Cobordisms of free knots | 2010-01-29 | Paper |
| Graph-links | 2010-01-12 | Paper |
| On minimal virtual link diagrams | 2009-10-26 | Paper |
| ON VIRTUAL CROSSING NUMBER ESTIMATES FOR VIRTUAL LINKS | 2009-09-22 | Paper |
| INTRODUCTION TO GRAPH-LINK THEORY | 2009-09-22 | Paper |
| Free Knos are Not Invertible | 2009-09-11 | Paper |
| On polynomial invariants of virtual links | 2009-07-13 | Paper |
| Additional Gradings in Khovanov Homology | 2009-05-22 | Paper |
| The Khovanov complex and minimal knot diagrams | 2009-03-09 | Paper |
| On Free Knots and Links | 2009-02-01 | Paper |
| On Free Knots | 2009-01-15 | Paper |
| Bracket structures and virtual knots | 2009-01-05 | Paper |
| Additional gradings in the Khovanov complex for thickened surfaces | 2008-11-10 | Paper |
| Introduction to Graph-Link Theory | 2008-10-30 | Paper |
| The Khovanov complex for virtual links | 2008-10-28 | Paper |
| Recognition of virtual braids. | 2008-08-18 | Paper |
| Khovanov homology for virtual knots with arbitrary coefficients | 2008-01-30 | Paper |
| Atoms and minimal diagrams of virtual links | 2007-10-22 | Paper |
| V. V. Trofimov's legacy in Lie theory | 2007-08-07 | Paper |
| Invariant tensor formulas via chord diagrams | 2007-08-07 | Paper |
| On cohomologies of some homogeneous spaces and relevant integer equations | 2007-08-07 | Paper |
| Curves on surfaces virtual knots, and the Jones-Kaufmann polynomial | 2007-06-27 | Paper |
| Finite-type invariants of virtual links and the Jones-Kauffman polynomial | 2007-06-27 | Paper |
| KHOVANOV HOMOLOGY FOR VIRTUAL KNOTS WITH ARBITRARY COEFFICIENTS | 2007-05-21 | Paper |
| Invariants of virtual links | 2007-01-12 | Paper |
| A proof of Vassiliev's conjecture on the planarity of singular links | 2006-10-31 | Paper |
| Virtual biquandles | 2006-03-14 | Paper |
| Flat hierarchy | 2006-03-14 | Paper |
| Virtual knot theory–-unsolved problems | 2006-03-14 | Paper |
| VASSILIEV INVARIANTS FOR VIRTUAL LINKS, CURVES ON SURFACES AND THE JONES–KAUFFMAN POLYNOMIAL | 2005-04-18 | Paper |
| LONG VIRTUAL KNOTS AND THEIR INVARIANTS | 2005-02-28 | Paper |
| Minimal diagrams of virtual links: II | 2005-02-09 | Paper |
| Minimal diagrams of classical knots | 2005-01-28 | Paper |
| Minimal diagrams of classical and virtual links | 2005-01-23 | Paper |
| Virtual knots and infinite-dimensional Lie algebras | 2005-01-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4821340 | 2004-10-13 | Paper |
| Virtual links are algorithmically recognisable | 2004-08-19 | Paper |
| MULTI-VARIABLE POLYNOMIAL INVARIANTS FOR VIRTUAL LINKS | 2004-07-01 | Paper |
| KAUFFMAN-LIKE POLYNOMIAL AND CURVES IN 2-SURFACES | 2004-07-01 | Paper |
| Invariant two-variable polynomials for virtual links | 2004-06-22 | Paper |
| Locally minimal networks on two-dimensional surfaces of negative curvature with singularities | 2003-09-08 | Paper |
| Chord diagrams, \(d\)-diagrams, and knots | 2003-08-25 | Paper |
| ON THE RECOGNITION OF BRAIDS | 2003-08-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4782210 | 2003-07-01 | Paper |
| Knots and the bracket calculus | 2003-03-11 | Paper |
| Maximally symmetric atoms and \(2 \times 2\) matrix groups | 2003-01-08 | Paper |
| A combinatorial representation of links by quasitoric braids | 2002-08-28 | Paper |
| On invariants of virtual links | 2002-08-19 | Paper |
| Bifurcations, atoms and knots | 2001-12-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4761778 | 2001-02-21 | Paper |
| The bracket semigroup of knots | 2000-11-16 | Paper |
