Below are various notes and talks for classes or seminars
and expository papers (these also appear on the publications page).
Notes:
- Lectures on Morse theory and handlebodies given at the 2019 PCMI Undergraduate Faculty Program.
- Lectures from an introduction to algebraic topology for undergraduates with an emphasis on knot theory.
- Survey talk on open books decompositions at MSRI, May 2009. There is only a pdf version of these notes.
- Lecture notes from the 2006 PCMI. These notes
are on "Conatact geometry and low-dimensional topology" and focus on
the techniques used to apply contact geometry to questions in
low-dimensional topology. In particular, they cover perturbations of
foliations into contact structures, symplectic handle attachment and
symplectic caps. These note were written by Shea Vick. There is only a pdf version of these
notes.
- Notes on convex surfaces from a contact
geomety class. Last revised July 2004 (very rough form!) pdf and ps.gz
- Very basic notes on sheaves and divisors.
These were from a series of seminars I gave as a graduate student some
time in the early 90's. These should definitely be used at your own
risk! pdf and ps.gz
Expository Articles:
- Legendrian contact homology in $\mathbb{R}^3$
joint work with Lenhard Ng, Preprint 2018.
- Lectures
on contact geometry in low-dimensional topology
Preprint 2006.
- Lectures
on open book decompositions and contact structures
Preprint 2004.
- Legendrian
and Transversal Knots
Preprint 2003.
- Introductory
Lectures on Contact Geometry
Proc. Sympos. Pure Math. 71 (2003), 81-107.
- Problems
in Low Dimensional Contact Topology
joint work with Lenhard Ng, Proc. Sympos. Pure Math. 71
(2003), 337-357.
- Symplectic
convexity in low-dimensional topology
Topol. and its Appl. 88 (1998), 3-25.
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