Hello,

I've been learning differential geometry and discrete differential geometry 
for around a year now. 
I understand that SAGE now has a sage-manifolds which adds support for 
defining smooth manifolds
as well as riemannian manifolds. 

I am interested in providing "discretized" versions of smooth manifolds, 
which are defined on simiplicial
complexes. 

- There is a textbook available, written by Keenan Crane, which is quite 
algorithmic <https://www.cs.cmu.edu/~kmcrane/Projects/DDG/paper.pdf>. 
- Here is a short note for the AMS on discrete differential geometry 
<https://www.ams.org/publications/journals/notices/201710/rnoti-p1153.pdf>
- Most of Kennan Crane's research   <https://www.cs.cmu.edu/~kmcrane/>is 
based around discrete differential geometry.

I feel that it would be quite profitable to add this to SAGE, since it's 
algorithmic, explicit,
and provides useful abstractions for combinatorializing and discretizing 
differential geometry.

It seems that SAGE has all the necessary data structures needed (simplicial 
complexes, weighted graphs)
to build up on. So this would be a library and an interface for using 
discrete differential geometric
object.

I wish to understand what the process is to add a new library to SAGE. (I'd 
be doing the
programming, of course). How is the API agreed upon? What is the process 
like to
submit code which satisfies the API? What are the "minimal requirements"? 
I'd love
to know.

I use SAGE quite a lot, so having this within SAGE would make me glad.

Thanks a lot,
~Siddharth
http://bollu.github.io/
https://github.com/bollu

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