Geometric Topology (MAS 630)
Monday, Wednesday, Friday:14:00-15:00 Room: E6 2411
Instructor: Suhyoung Choi Room: E6-4403
Mail: shchoixk at math kaist ac kr
Course Homepage: mathsci.kaist.ac.kr/~schoi/teaching.html
The
basic purpose of this course is to study the geometric structures on
orbifolds and study
the geometrization of 3-orbifolds following
Boileau et al.
Text:
(Ch) S. Choi, Geometric structures on 2-orbifolds: exploration of
discrete symmetry,
Preliminary
version.
Nov. 2009. (This is a temporary note from my Titech course taught
in
the Fall of 2008. There are many references in here as well. Please
download the file.
This will be our lecture note basically for
the first seven weeks. Note that I will correct the text
as we go
along also.)
(He) Hempel, 3-manifolds, AMS
(Ha) Hatcher, Notes
on Basic 3-manifold topology, available from
http://www.math.cornell.edu/~hatcher/3M/3Mdownloads.html
(Bo)
Boileau, Maillot, Porti, Three-dimensional orbifolds and their
geometric structures, Societe Mathematique de France 2003.
Other
helpful notes are:
(Br) Bridson, Haefliger, Metric spaces of
non-positive curvature, Springer
(N) Walter Neumann, Notes
on Geometry and 3-Manifolds, available from
http://www.math.columbia.edu/~neumann/preprints/
There
will be three parts to this course:
Part I: Orbifold theory using
mostly my notes. (7 weeks, Feb. 1nd
to
March 19th
)
I will basically use the material from the Titech course
with
small changes. Week 1 note 1 , note
2, note 3-1, note
3-2
Midterm period (no
classes)
Part II: ``3-manifolds'' by Hempel and ``Basic
3-Manifold Topology'' by Hatcher. (3 weeks, March 29th
to
April 16th
)
The lecture notes will be posted later.
Part III:
``3-dimensional Orbifolds and Their Geometric Structures'' by Boileau
et al. (4 weeks, April 19th
to
May 14th
)
Final
exam period (no classes)
Note: holidays 2/15, 3/1, 5/5 there will be no classes.
The
part III will be presented by the advanced students divided into 11
classes.
Roughly, one student will do one chapter of the book for
one hour or so. A long chapter can be divided
into two. Please
look at the chapters and divide the book among yourselves. Basically,
the book
will be slightly more advanced than my lectures so that
you will be able to read it yourselves.
(One should use a
presentation software and have a PDF file) If necessary, we can use
the Final
exam period also.