The main scientific subject of the laboratory is conducting research in the field of quantum and low-dimensional topology, as well as in related areas of mathematics and mathematical physics. This includes the study of quantum invariants of 3-manifolds, spines and development of the knot theory, various aspects of mathematical physics equations and geometric patterns on surfaces.
The collective of the laboratory consists of four groups of scientists: Chelyabinsk group, Moscow group, Novosibirsk group and St. Petersburg group.
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