Search for tag: "heegaard splitting"

Thumbnail for entry Meeting 2.2: More on Heegaard diagrams, knots and knot equivalence

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 38 plays 0  
Date of creation
2/4/2021 12:00 AM
Thumbnail for entry Meeting 2.1: Heegaard splittings of 3-manifolds

Meeting 2.1: Heegaard splittings of 3-manifolds

duration 58 minutes 28 seconds

Meeting 2.1: Heegaard splittings of 3-manifolds

Meeting 2.1: Heegaard splittings of 3-manifolds

Meeting 2.1: Heegaard splittings of 3-manifolds

I sketch the proof that every (orientable, closed, PL) 3-manifold has a Heegaard splitting.

3-manifold
heegaard splitting
From  Eric Samperton 40 plays 0  
Date of creation
2/2/2021 12:00 AM