230 citations
- J. Przytycki8 · h 33
- C. Keppel2 profiles4 · h 48
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- Petersburg Nuclear Physics InstituteRU5 papers
- Thomas Jefferson National Accelerator FacilityUS5 papers
- A. Alikhanyan National LaboratoryAM4 papers
- Argonne National LaboratoryUS4 papers
- Institute for Nuclear ResearchRU4 papers
- Kent State UniversityUS4 papers
- Murray State UniversityUS4 papers
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4 papers · 2 filters
Search for different links with the same Jones' type polynomials: Ideas from graph theory and statistical mechanics
Jozef H. Przytycki
We describe in this talk three methods of constructing different links with the same Jones type invariant. All three can be thought as generalizations of mutation. The first combin…
From 3-moves to Lagrangian tangles and cubic skein modules
Jozef H. Przytycki
We discuss several open problems in classical Knot Theory and we develop techniques that allow us to study them: Lagrangian tangles, skein modules and Burnside groups.
Symmetric knots and billiard knots
Jozef H. Przytycki
Symmetry of geometrical figures is reflected in regularities of their algebraic invariants. Algebraic regularities are often preserved when the geometrical figure is topologically…
The topological interpretation of the core group of a surface in S^4
Jozef H. Przytycki, Witold Rosicki
We give a topological interpretation of the core group invariant of a surface embedded in S^4. We show that the group is isomorphic to the free product of the fundamental group of…