#17030: Knot Theory as a part of GSoC 2014.
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Reporter: amitjamadagni | Owner: amitjamadagni
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.9
Component: algebraic | Resolution:
topology | Merged in:
Keywords: | Reviewers: Miguel Marco, Karl-
Authors: Amit Jamadagni, | Dieter Crisman, Frédéric Chapoton
Miguel Marco | Work issues:
Report Upstream: N/A | Commit:
Branch: | cb84cec88f012844ac65d102296644a77f89818c
public/ticket/17030 | Stopgaps:
Dependencies: |
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Comment (by mmarco):
>
> - Is the definition of the writhe valid for links? Right now the
documentation just says "of the knot".
>
It is as valid for link diagrams. The only difference with the knot case
is that a change of orientation in a knot diagram does not change the
writhe. However, in the case of link diagrams, a change of the orientation
on a component might change the writhe. However, we are always internally
considering an orientation in the diagrams, so it does make sense.
> - Methods like `alexander_polynomial` could use elaboration in their
documentation, such as their definition and/or references.
>
Ok, i will try to work on that, in the following days.
> - I want to create a separate class `Knot` inheriting from `Link` to
make it easier for people expanding on this in the future (and there is
already a method specifically for knots). Any objections to me doing this?
I had thought of keeping the same class (since they would be two almost
identical classes), but have two different funcions to create the general
links and the knots. The knot function would then just check that the
given diagram corresponds to a knot and then create the corresponding link
object.
--
Ticket URL: <http://trac.sagemath.org/ticket/17030#comment:118>
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