#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: | 8f4ec1977612c42da767931683dae92ba17e4bb0
public/ticket/17030 | Stopgaps:
Dependencies: |
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Comment (by fuglede):
Actually, I just noticed that the {{{alexander_polynomial}}} method
currently gives incorrect results, even when no braid strands are ignored:
{{{
sage: B = BraidGroup(4)
sage: b = B([1,3]) # A braid where all strands play a role
sage: L = Link(b) # Two disjoint unknots
sage: b.alexander_polynomial()
0
sage: L.alexander_polynomial()
1
}}}
In this case, 0 is the correct result as the link bounds a disconnected
oriented surface (two disjoint disks).
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Ticket URL: <http://trac.sagemath.org/ticket/17030#comment:142>
Sage <http://www.sagemath.org>
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