Search for tag: "knots"

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.

From  Eric Samperton 12 plays 0  

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…

From  Eric Samperton 20 plays 0  

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…

From  Eric Samperton 13 plays 0