## Syllabus

## Course Description

In this course we will survey various aspects of 3-manifolds including: 2-dimensional orbifolds, Seifert fibered spaces, Thurston's 8 geometries, separability properties, Haken manifolds, and other items as time permits (Virtually Fibered Theorem, Virtual Haken Theorem, decompositions of 3-manifolds, etc.)

## Resources

Martelli's text An Introduction to Geometric Topology

Hatcher's text Basic 3-Manifold Topology

Notes on hyperbolic 2-space

Notes on hyperbolic 3-space

Hatcher's text Basic 3-Manifold Topology

Notes on hyperbolic 2-space

Notes on hyperbolic 3-space

## Course Notes

Jan 10

Jan 12

Jan 17

Jan 19 (I only got through the proof of Prop 9.2.14)

Martelli's book Sections 9.2.6, 9.2.7 (you will need to read Sec 1.7.5 for this and you can skip exercise 9.2.22), 9.2.8 and 9.2.9 (you can skim the proofs in these two sections, but you need the statements of results for the next section), and finally Section 9.2.10 (this is the really important proof that I want you to go through carefully).

Feb 7 (together we skimmed 9.2.11, 9.2.12, & 9.2.13 before covering what is in the notes in more detail)

Feb 9

Feb 14

Feb 16/18/21 Reading Assignment: Lemma 9.4.6 & Sections 9.4.2, 9.4.3, 9.4.4, 9.4.5, 9.4.6

Feb 23

Feb 28

Mar 2

Mar 16

Mar 21

Mar 23

Mar 28 & conference talk notes

Mar 30

Apr 4

Apr 6

Apr 11

Apr 18

Apr 20: class reading & discussion-- Ch 4 up until Section 4.2.4 (will start at this section next time and finish our discussion of the thick-thin decomposition)

Apr 25

Jan 12

Jan 17

Jan 19 (I only got through the proof of Prop 9.2.14)

**Reading Assignment for week of Jan 23: this only works if you actually do the reading!! feel free to work together**Martelli's book Sections 9.2.6, 9.2.7 (you will need to read Sec 1.7.5 for this and you can skip exercise 9.2.22), 9.2.8 and 9.2.9 (you can skim the proofs in these two sections, but you need the statements of results for the next section), and finally Section 9.2.10 (this is the really important proof that I want you to go through carefully).

Feb 7 (together we skimmed 9.2.11, 9.2.12, & 9.2.13 before covering what is in the notes in more detail)

Feb 9

Feb 14

Feb 16/18/21 Reading Assignment: Lemma 9.4.6 & Sections 9.4.2, 9.4.3, 9.4.4, 9.4.5, 9.4.6

Feb 23

Feb 28

Mar 2

Mar 16

Mar 21

Mar 23

Mar 28 & conference talk notes

Mar 30

Apr 4

Apr 6

Apr 11

Apr 18

Apr 20: class reading & discussion-- Ch 4 up until Section 4.2.4 (will start at this section next time and finish our discussion of the thick-thin decomposition)

Apr 25