Part III 3-Manifolds (Lent 2018)
Mon, Wed, Fri, 11:00 am, MR5.
 

Course description

Lecture Notes
(work in progress!)


 
Example Sheets

Exercise Sheet 1
Exercise Sheet 2

Examples Class Schedule

1. Thu, 01/02/2018, 14:00 - 16:00, MR5.
2. Thu, 15/02/2018, 15:00 - 17:00, MR3. ← Not M5!
3. Thu, 01/03/2018, 15:00 - 17:00, MR5.
4. Wed, 14/03/2018, 15:00 - 17:00, MR3. ← Not M5!


 
Useful References

1. Sphere and Torus Decompositions. There were several requests after Lecture 3 for references on the most recent material. I've done some searching for online references you could use, and the following 2 sets of notes look good and are by reliable authors. Neither reference mirrors the structure of what I've been saying very closely, but most of the definitions and theorems I've stated so far can be found in them.
    Allen Hatcher. Notes on Basic 3-Manifold Topology.
    --Very hands-on. Uses logical but somewhat less conventional labels for Seifert data. We shall use β/α for a fiber of multiplicity α.
    Danny Calegari. Notes on 3-Manifolds.
    --Assumes a little more fluency in geometry, topology, and group theory, but approaches the subject from a broader perspective.

2. The Alexander Polynomial.
    Daniel Copeland. The multivariable Alexander polynomial and Thurston norm.
This is the masters' thesis of a masters' student of András Stipcisz, a very reliable guy.
Chapter 2 has a detailed exposition of the Alexander polynomial of a 3-manifold with infinite cyclic cover.


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