OpenAI reports the Artin K(π,1) conjecture in finite rank
- Mathematics
The standard Salvetti complex of every Artin group with finitely many standard generators is aspherical, equivalently its universal cover is contractible.
OpenAI reports the Artin K(π,1) conjecture in finite rank
- Mathematics
The standard Salvetti complex of every Artin group with finitely many standard generators is aspherical, equivalently its universal cover is contractible.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
The standard Salvetti complex of every Artin group with finitely many standard generators is aspherical, equivalently its universal cover is contractible.
Why it matters
If correct, resolves the finite-rank Artin K(π,1) conjecture for every Coxeter matrix on a finite generating set.
What counts as progress
Is every finite-rank Artin group’s Salvetti complex aspherical?
Website timeline
Publication dates and editorial changes.