Meeting 13.2: Topological quantum computing and 3-manifold invariantsWe spell out the precise relation between 3-manifold/knot invariants and the model of topological quantum computing discussed in the previous several meetings.
From Eric Samperton
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Meeting 3.1: More on knots, and building knot diagrams from braid wordsWe combinatorialize tame knots using stick presentations, then form knot diagrams by taking regular projections onto a plane. I explain two ways to convert a word in the generators of Artin's…
From Eric Samperton
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Meeting 2.2: More on Heegaard diagrams, knots and knot equivalenceWe continue the discussion of Heegaard diagrams from last time. I give some examples, calculate the homology of a lens space, and introduce normal curves. We then introduce knots and discuss the…
From Eric Samperton
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