Vassily Olegovich Manturov

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Generalizations of the groups $G_{n}^{k}$: graphs, moduli spaces, algebraic geometry, spherical braids2026
• Secant-quandle: an invariant of braids and knots2026
• A generalisation of the Burau representation and groups $G_{n}^{3}$ for classical braids2026
• An invariant of free knots valued in non-abelian groups2026
• Maps from knots to $2$-links, chord diagrams, and a way to enhance Vassiliev invariants2025
• Parity in knot theory2010 · аннотациясвернуть

  In this work we study knot theories with a parity property for crossings: every crossing is declared to be even or odd according to a certain preassigned rule. If this rule satisfies a set of simple axioms related to…

• Virtual biquandles2005 · аннотациясвернуть

  We describe new approaches for constructing virtual knot invariants. The main background of this paper comes from formulating and bringing together the ideas of biquandle KR, FJK, the virtual quandle…

• Virtual knot theory–-unsolved problems2005 · аннотациясвернуть

  The present paper gives a quick survey of virtual and classical knot theory and presents a list of unsolved problems about virtual knots and links. These are all problems in low-dimensional topology with a special…