#11010: Implementation of the SubwordComplex as defined by Knutson and Miller
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Reporter: stumpc5 | Owner: tbd
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.2
Component: combinatorics | Resolution:
Keywords: subword complex, | Merged in:
simplicial complex | Reviewers:
Authors: Christian Stump | Work issues: coverage
Report Upstream: N/A | Commit:
Branch: u/chapoton/11010 | 76afdca9d2842a4f0a4060f60130bb37c41df99f
Dependencies: #12774 | Stopgaps:
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Comment (by stumpc5):
Dear Frederic,
Thanks for your work on that -- I am super busy with other stuff,
hopefully this will get better in about 4 weeks from now.
I am not sure if I/we should keep the construction for positive genus:
- Mathematically, this has not been considered before,
- it is not quite the right generalization of subword complexes as defined
by Knutson-Miller. In particular, such complexes do not need to be vertex-
decomposable or shellable.
- we have a proper generalization which will have similar combinatorics
and will capture the needed behaviour for positive genus
- our paper in which I introduce these things is still on hold and we will
need at least another 3-6 months before getting this into a state to make
it publicly available
I should be able to quickly look at your branch during the weekend to
clean things up a bit. Or do you prefer to work things out yourself?
Cheers, Christian
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Ticket URL: <http://trac.sagemath.org/ticket/11010#comment:15>
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