#9125: more examples of simplicial complexes: RP^n, CP^2, etc.
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Reporter: jhpalmieri | Owner: jhpalmieri
Type: enhancement | Status: positive_review
Priority: minor | Milestone: sage-4.6.1
Component: algebraic topology | Keywords:
Author: John Palmieri | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by jhpalmieri):
Replying to [comment:2 robert_goss]:
> I have been working on a function to generate simplicial complexes for
the lens spaces. Although the implimentation is naive would it be
something which would be useful to put in this patch?
I think having lens spaces would be very nice, although maybe it could go
on another ticket so that the current patch can get merged. If you post
something, I'll almost certainly review it. A naive approach would be
fine, but you might also look at some of the papers referenced in the
current patch. In particular,
- Basudeb Datta, "Minimal triangulations of manifolds", J. Indian Inst.
Sci. 87 (2007), no. 4, 429-449.
- Frank H. Lutz, "Triangulated Manifolds with Few Vertices: Combinatorial
Manifolds", preprint (2005), 484 arXiv:math/0506372.
are both expository papers which might include some discussion of lens
spaces, or might give references. (I think I've seen discussions of
triangulations of lens spaces somewhere, but I don't remember where. You
might also try searching the web.)
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9125#comment:3>
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