activity
20042009
most citedVirtual knots undetected by 1 and 2-strand bracket polynomials

3 citations · 4 across the 7 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

quant-ph2009★ 1 cited

Anyonic Topological Quantum Computation and the Virtual Braid Group

H. A. Dye, Louis H. Kauffman

We introduce a recoupling theory for virtual braided trees. This recoupling theory can be utilized to incorporate swap gates into anyonic models of quantum computation.

math.GT2009

Lower bounds on virtual crossing number and minimal surface genus

Kumud Bhandari, H. A. Dye, Louis H. Kauffman

We compute lower bounds on the virtual crossing number and minimal surface genus of virtual knot diagrams from the arrow polynomial. In particular, we focus on several interesting…