Sergei Vladimirovich Matveev

DOI10.1070/RM9827zbMath1412.01022OpenAlexW2889781755MaRDI QIDQ5377095

A. T. Fomenko, Yu. G. Reshetnyak, Iskander A. Taimanov, A. V. Chernavskii, Victor M. Buchstaber, Andrei Vesnin, Ivan A. Dynnikov, A. B. Sossinskij, Evgeny Fominykh, Victor A. Vassiliev, Vladimir G. Turaev

Publication date: 23 May 2019

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9827

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70)

Cites Work

• Prime decompositions of knots in \(T^2 \times I\)
• Decomposition of homologically trivial knots in \(F\times I\)
• Reduction of knots in thickened surfaces and virtual knots
• Complexity theory of three-dimensional manifolds
• Additivity of complexity and Haken's method in the topology of three- dimensional manifolds
• Generalized surgery of three-dimensional manifolds and representations of homology spheres
• Zeeman's conjecture for unthickened special polyhedra is equivalent to the Andrews-Curtis conjecture
• Lectures on algebraic topology. Transl. from the Russian by Ekaterina Pervova
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• Universal 3-deformations of special polyhedra
• Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds
• TRANSFORMATIONS OF SPECIAL SPINES AND THE ZEEMAN CONJECTURE
• Трехмерные многообразия, имеющие простые специальные остовы
• Classification of sufficiently large three-dimensional manifolds
• Roots and decompositions of three-dimensional topological objects
• Algorithmic topology and classification of 3-manifolds
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