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Results tagged with reference-request
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user 9417
This tag is used if a reference is needed in a paper or textbook on a specific result.
3
votes
1
answer
269
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Knot symmetries and the Alexander polynomial
Let $K\subset S^3$ be a knot. Suppose there is an involution, $f$, of $S^3$ such that $f(K)=K$, and the fixed points of $f$ do not lie on $K$ itself. Furthermore assume that the orientations of $f(K)$ …
- 4,898
1
vote
A Learning Roadmap request: From high-school to mid-undergraduate studies
I found "On Knots" by Louis Kauffman to be very inspiring when I was in high school. It's not a book to be read linearly, but rather you should hop around from section to section. As your mathematical …
10
votes
Accepted
Knot theory without planar diagrams?
Here is an example close to my heart. We show that the second coefficient of the Conway polynomial can be defined by counting quadrisecants. (Collinearities of $4$ points on the knot.)
(source: rybu …
- 4,898
22
votes
1
answer
2k
views
Reference request: The first cohomology of SL(2,Z) with coefficients in homogeneous polynomi...
Let $H_k$ be the vector space of degree $k$ homogeneous polynomials in two variables.I'm looking for a reference for the fact that $H^1(SL(2,\mathbb Z);H_k)=M^0(k+2)\oplus\overline{M^0(k+2)}\oplus E_{ …
- 4,898
8
votes
Textbook recommendations for undergraduate proof-writing class
I have used Velleman's How to Prove It with success.