MA4J2, ThreeManifolds
Winter 2012

Course Description
This class, an introduction to the geometry of threedimensional
manifolds, is a natural extension of MA243 (Geometry) and MA3F1
(Introduction to Topology); these are essentially prerequisites. The
modules MA3H6 (Algebraic Topology) and MA455 (Manifolds) are also
extremely useful.

Schedule
The schedule has a planned list of
topics, organized by lecture. Links to example sheets will be posted
weekbyweek.

Instructor and Marker
Name 
Building/Office 
Email 
Phone 
Office Hours 
Saul Schleimer 
39/B2.14 
s dot schleimer at warwick dot ac dot uk 
024 7652 3560 
Tuesday 23pm 
Robert Tang 
39/B2.01 
robert dot tang at warwick dot ac dot uk 
N/A 
N/A 


Class meetings
Activity 
Led by 
Time 
Building/Room 
Support class
 Tang
 Monday 1011am
 39/B3.01

Lecture
 Schleimer
 Tuesday 121pm
 39/B3.03

Scribe meeting
 Schleimer
 Wednesday 1212:30pm
 39/B2.14

Lecture
 Schleimer
 Thursday 121pm
 39/B3.03

Lecture
 Schleimer
 Friday 34pm
 39/B3.03



Reference materials
We will closely follow the article The
geometries of 3manifolds, by Peter Scott.
Another very useful reference is the website Geometry
and the imagination, by Conway, Doyle, Gillman, and Thurston. A
more advanced reference is the book Threedimensional
geometry and topology, by William Thurston.
Last year's course focused more on the topology and algebra of
threemanifolds. Several students in that class (Winstel, Pressland,
Kitson, and Scott) prepared notes, with
many lovely figures. Two of the main references for that class were:
Threedimensional manifolds (Chapters 12, 3, 45, 67, 812, Exercises 1 and 2), by Marc Lackenby
and Notes
on basic 3manifold topology, by Allen Hatcher.
Other useful references include:
3manifolds, by John Hempel.
Knots and links, by Dale Rolfsen.
The theory of normal surfaces, by Cameron Gordon, typeset by Richard Kent.
Topology of 3dimensional fibered spaces, by Herbert Seifert.

Example sheets
See the schedule for the example
sheets.

Exam
The exam will be 85% of your mark. The exam will be closed book.
The 2011 exam is available. Please
be aware that the contents of this module are very different; this
exam should not be considered a practice exam.

Assessed work
Assessed work will be 15% of your mark. 2% (at most) may be earned
every week (starting the second week) you turn in a single worked
exercise. Alternatively, you may scribe a lecture to earn that week's
marks. (Apply early! At most one student per lecture! While
supplies last!)
Callum Duffy has made his LaTex file
available for scribes to use.
Homework solutions must be turned into Robert Tang at the beginning
of the support class. No late work will be accepted. Please include
your name, the date, and the problem you are solving at the top of the
page. Solutions typeset using LaTeX are preferred. Please limit your
solution to one piece of paper  if more space is needed then write
out a complete solution and then rewrite with conciseness in mind.

Mistakes
Please tell me in person, or via email, about any errors on this
website or made in class. I am especially keen to hear about
mathematical errors, gaffes, or typos made in lecture or in the
example sheets.

