Fionntan Roukema

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We compute many dimensions of spaces of finite type invariants of virtual knots (of several kinds) and the dimensions of the corresponding spaces of " weight systems " , finding everything to be in agreement with the conjecture that " every weight system integrates ". 1. " Standard " Virtual Knots For " classical " finite type invariants of ordinary knots,(More)
Real finite type invariants have diagrammatic descriptions and relate to Lie Algebras. Analogues of the corresponding results for virtual finite type invariants exist, but are less well understood. This article collects computational results about the dimensions of the Polyak algebra and other spaces related to virtual finite type invariants. The code(More)
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