#17030: Knot Theory as a part of GSoC 2014.
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Reporter: amitjamadagni | Owner: amitjamadagni
Type: task | Status: needs_work
Priority: major | Milestone: sage-6.4
Component: algebraic | Resolution:
topology | Merged in:
Keywords: | Reviewers: Miguel Marco
Authors: Amit Jamadagni, | Work issues:
Miguel Marco | Commit:
Report Upstream: N/A | e6e17c401b8b879cd041dafc120d3943b3f2dacb
Branch: | Stopgaps:
u/amitjamadagni/knots |
Dependencies: |
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Comment (by tscrim):
Replying to [comment:16 kcrisman]:
> Yeah, I think it would be really wise for such a new component and with
a lot of technicalities for determining e.g. whether a given link is a
knot to have a couple actual knot theorists review it, at least by
checking the output in lots of cases. That may take some cold-calling,
though perhaps a sage-devel email will turn up some all by itself, and
there are Sage-friendly knot folks out there - though I don't know if they
know how to review a branch.
FTR - I might be able to pull a few of the knot theorists at Davis to do
the review in a month or two.
----
Also here's some things that I'd like to see (although they don't have to
be done here):
- Make the monoid of all knots (and/or links) under connect sum (and
disjoint union).
- Implement a latex and/or a plotting method (although perhaps this would
need specialized class for PL knots?).
- Handle input in Dowker notation (if I understand it correctly, it
completely determines a knot), and subsequently make `_dowker_notation_`
public (i.e. name it `dowker_notation`).
--
Ticket URL: <http://trac.sagemath.org/ticket/17030#comment:20>
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