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Implement algebraic shifting operation for simplicial complexes #25868

Open jplab opened 6 years ago

jplab commented 6 years ago

This tickets implements the exterior and symmetric shifting of simplicial complexes.

For more details on this operation, see for example:

https://arxiv.org/abs/math/0303233 https://arxiv.org/abs/0709.3265

where the operation is discussed in detail.

CC: @jplab @mo271 @videlec @jhpalmieri @tscrim

Component: geometry

Keywords: simplicial complexes, shifting

Author: Jean-Philippe Labbé

Branch/Commit: u/jipilab/shifting @ 48f7294

Issue created by migration from https://trac.sagemath.org/ticket/25868

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 6 years ago

Commit: 547760d

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 6 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

11956b8First version of k-shift
cfe2872some more improvement on shift
99c3e4echanged method for shifting
547760dFirst draft of exterior shifting
jplab commented 6 years ago
comment:2

I am still working on the function, but thought that I could upload my current working version.

I still would like to implement the symmetric shifting as well.

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 6 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

4f390bcMerge branch 'shifting' into shiftingv83
48f7294Repaired counter and added references
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 6 years ago

Changed commit from 547760d to 48f7294