#16310: Snake graph perfect matching formula for cluster variables from surfaces
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Reporter: egunawan | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.6
Component: combinatorics | Resolution:
Keywords: days64, days64.5, | Merged in:
days65, cluster algebras, | Reviewers: Gregg Musiker, Travis
triangulations | Scrimshaw
Authors: Emily Gunawan | Work issues:
Report Upstream: N/A | Commit:
Branch: | a7e03b76c513e6af32551ae6962d06b4cc73c8eb
u/egunawan/snakegraph | Stopgaps:
Dependencies: |
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Changes (by {'newvalue': u'Emily Gunawan', 'oldvalue': u'egunawan'}):
* reviewer: gmoose05 => Gregg Musiker, Travis Scrimshaw
* author: egunawan => Emily Gunawan
Old description:
> my branch for this ticket: u/egunawan/snakegraph
> (fetch or pull this branch from Sage 6.7 master branch)
>
> Enhancement to the cluster_algebra_quiver package: User can define a
> cluster algebra seed by entering a cluster triangulation class T of a
> surface. User can then compute the T-expansion of an arc or loop gamma by
> entering the arcs of T that gamma crosses.
>
> The algorithm used is the perfect matching formula from the following
> papers:
> "Positivity for cluster algebras from surfaces"
> http://arxiv.org/abs/0906.0748 (section 4).
> "Bases for cluster algebras from surfaces" http://arxiv.org/abs/1110.4364
> (section 3).
New description:
branch for this ticket: u/egunawan/snakegraph
(currently at Sage 6.7 master branch)
Enhancement to the cluster_algebra_quiver package: User can define a
cluster algebra seed by entering a cluster triangulation class T of a
surface. User can then compute the T-expansion of an arc or loop gamma by
entering the arcs of T that gamma crosses.
The algorithm used is the perfect matching formula from the following
papers:
"Positivity for cluster algebras from surfaces"
http://arxiv.org/abs/0906.0748 (section 4).
"Bases for cluster algebras from surfaces" http://arxiv.org/abs/1110.4364
(section 3).
We decided to try to break this ticket into smaller (and easier-to-read)
parts. See http://trac.sagemath.org/ticket/19160
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Ticket URL: <http://trac.sagemath.org/ticket/16310#comment:53>
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