#17030: Knot Theory as a part of GSoC 2014.
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Reporter: amitjamadagni | Owner: amitjamadagni
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.2
Component: algebraic | Resolution:
topology | Merged in:
Keywords: | Reviewers: Miguel Marco, Karl-
Authors: Amit Jamadagni, | Dieter Crisman, Frédéric Chapoton,
Miguel Marco | Travis Scrimshaw
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/ticket/17030 | 075d7b74a5e4c1026f06c9f03f63c993e646e5d4
Dependencies: | Stopgaps:
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Comment (by fuglede):
The determinant should definitely be 1; it's the Seifert matrix that
doesn't really make sense to me (because as mentioned above, for the case
of interest, one Seifert surface is the cylinder, but again, I have not
understood what the algorithm actually does).
By treating only the symptoms, the algorithm now (in 7711771b) produces
the incorrect result for the unknot:
{{{
sage: B = BraidGroup(2)
sage: b = B([1])
sage: b.alexander_polynomial()
1
sage: Link(b).alexander_polynomial()
0
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/17030#comment:167>
Sage <http://www.sagemath.org>
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