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Virtual Knots and Infinite-Dimensional Lie Algebras
Authors:Vassily O Manturov
Institution:(1) Eniseyskaya St. 16/21, 34, Moscow 129344, Russia. e-mail
Abstract:In the present work, we construct an invariant of virtual knots valued in (infinite-dimensional) Lie Algebras and establish some properties of it. This leads to some heuristic ideas how to construct quandles and extract (virtual) link invariants.
Keywords:knot  virtual knot  Lie algebra  Campbell–  Hausdorff formula
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