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Intrinsic linking and knotting are arbitrarily complex
Erica Flapan, Blake Mellor, Ramin Naimi
We show that, given any and , every embedding of any sufficiently large complete graph in contains an oriented link with components , ..., such tha…
Implications for cognitive quantum computation and decoherence limits in the presence of large extra dimensions
J. R. Mureika
An interdisciplinary physical theory of emergent consciousness has previously been proposed, stemming from quantum computation-like behavior between 10^9 or more entangled molecula…
Cohomology of Categorical Self-Distributivity
J. Scott Carter, Alissa Crans, Mohamed Elhamdadi +1
We define self-distributive structures in the categories of coalgebras and cocommutative coalgebras. We obtain examples from vector spaces whose bases are the elements of finite qu…
Lissajous knots and knots with Lissajous projections
Jim Hoste, Laura Zirbel
Knots in Euclidean space which may be parameterized by a single cosine function in each coordinate are called Lissajous knots. We show that twist knots are Lissajous knots if and o…
Boundary slopes of 2-bridge links determine the crossing number
Jim E. Hoste, Patrick D. Shanahan
A diagonal surface in a link exterior M is a properly embedded, incompressible, boundary incompressible surface which furthermore has the same number of boundary components and sam…