Search for tag: "knots"

3 Media

Meeting 13.2: Topological quantum computing and… duration 59 minutes 15 seconds Meeting 13.2: Topological quantum computing and… Meeting 13.2: Topological quantum computing and 3-manifold invariants	Meeting 13.2: Topological quantum computing and 3-manifold invariants We spell out the precise relation between 3-manifold/knot invariants and the model of topological quantum computing discussed in the previous several meetings. topological quantum computation quantum invariants 3-manifold knots From Eric Samperton 30 plays 0 Date of creation 4/22/2021 12:00 AM
Meeting 3.1: More on knots, and building knot… duration 1 hour 12 minutes Meeting 3.1: More on knots, and building knot… Meeting 3.1: More on knots, and building knot diagrams from braid words	Meeting 3.1: More on knots, and building knot diagrams from braid words We 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… knots reidemeister moves braid group bridge position From Eric Samperton 32 plays 0 Date of creation 2/9/2021 12:00 AM
Meeting 2.2: More on Heegaard diagrams, knots and… duration 1 hour 15 minutes Meeting 2.2: More on Heegaard diagrams, knots and… Meeting 2.2: More on Heegaard diagrams, knots and knot equivalence	Meeting 2.2: More on Heegaard diagrams, knots and knot equivalence We 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… heegaard diagram heegaard splitting lens space normal curves knots From Eric Samperton 37 plays 0 Date of creation 2/4/2021 12:00 AM