Description

This is a meta-issue for the 2023 Google Summer of Code project

The aim of this project is to further expand Sage's library for topology, by implementing various functions from toric topology. Though this field might sound specific, a lot of properties can be viewed combinatorially, and that's why they are particularly interesting. These functions are also of interest to researchers in other fields, not just toric topologists. The main idea is to implement as many functions as possible to broaden the library and further make research in this and related areas much easier.

Mentor: @tscrim

Progress, relevant issues and pull requests

• Implementing Bigraded Betti numbers and other combinatorial topology invariants #35410
• Adding bigraded Betti numbers functionality #35430
• Implementing Golod complexes #35802
• Implementing moment angle complexes #35875
• Deprecate rename_vertices parameter in disjoint_union #35907
• Additions to the bigraded Betti number methods #36166
• Cohomology ring of a moment-angle complex #36227
• Add a name parameter to moment-angle complexes #36214
• Improve cubical_complex() method of MomentAngleComplex #36215
• Implement polyhedral products and real moment-angle complexes #36216
• Improve Euler characteristic implementation for moment-angle complexes #36217
• Core of a simplicial complex, Gorenstein and Gorenstein* properties #36286