Math 7590 Information
# Additional Course Materials: Math 7590: Dessins d'Enfant

## Polynomial Invariants of Combinatorial Maps

### Quasi-Tree Expansions

### Bollobas-Riordan-Whitney-Tutte Polynomials: BRWT

### Knot Theory and Combinatorial Basics & Reference Guides

The last item is a first draft LaTeX version of a Book by Lou Kauffman -- This book is an introduction to knot theory and to Witten's approach to knot
theory via
functional integral.
## Riemann Surfaces & Maps

### Galois Invariants

### Enumeration

### Belyi Functions

### Maps

### Riemann-Hurwitz

If you have taken algebraic topology, here is a
set of exercises on the Riemann-Hurwitz formula.

### Riemann Surfaces

For an introduction to the field of meromorphic functions on a Riemann surfaces, linear fractional transformations and the
upper half plane two dimensional geometry:
### Surface Classification & Triangulation

## Permutations & Coverings

### Magma Code

I computed an example of a cartographic group of a 3-constellation in magma. However, you are
strongly encouraged to
support sage different approach to mathematics software at Sage Home , the free python-based follow-up to magma.

### Mathematica Notebook

Here is a Mathematica Notebook on using Mathematica and its Combinatorica package to work
with permutations and draw graphs.

### TWF 252: Burnside & Frobenius

This is a discussion of the distinctions between group actions and representations in the study of properties of finite
groups.
### Classification of Coverings and Relationship with Group Actions

Prof. Moeller has made available an excellent set of notes on this relationship.

### Algorithms for Permutations

### Sources

### Projects

### Problems

Comments --> Last update:
1 September
, 2009