Additional Course Materials: Math 7590: Dessins d'Enfant
Polynomial Invariants of Combinatorial Maps
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
Riemann Surfaces & Maps
If you have taken algebraic topology, here is a
set of exercises on the Riemann-Hurwitz formula.
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
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.
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
Classification of Coverings and Relationship with Group Actions
Prof. Moeller has made available an excellent set of notes on this relationship.
Algorithms for Permutations
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