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The Knotting-Unknotting Game played on Sums of Rational Shadows
The Knotting-Unknotting Game Sums of Rational Shadows Combinatorics Geometric Topology
2011/9/5
Abstract: We consider the recently introduced knotting-unknotting game, in which two players take turns resolving crossings in a knot diagram which initially is missing all its crossing information. O...
Towards Topological Quantum Computation? - Knotting and Fusing Flux Tubes
topological quantum computation quantum physics condensed matter
2011/3/4
Models for topological quantum computation are based on braiding and fusing anyons (quasi-
particles of fractional statistics) in (2+1)-D. The anyons that can exist in a physical theory are determine...
Knotting and higher order linking in physical systems
Knotting higher order linking physical systems
2010/11/11
We discuss physical systems with topologies more complicated than simple gaussian linking. Our examples of these higher topologies are in non-relativistic quantum mechanics and in QCD.
For any d\ge 5, I constructed infinitely many pairwise smoothly non-equivalent surfaces F\subset\Cp{2} homeomorphic to a non-singular algebraic curve of degree d, realizing the same homology class as ...