3-manifolds that can be made acyclic
Stefan Friedl, Matthias Nagel
TL;DR
This paper characterizes 3-manifolds that support a unitary representation leading to an acyclic twisted chain complex, advancing understanding of their algebraic and topological properties.
Contribution
It identifies specific conditions under which 3-manifolds admit unitary representations with acyclic twisted chain complexes, a novel classification in 3-manifold topology.
Findings
Characterization of 3-manifolds with acyclic twisted chain complexes
Conditions for the existence of suitable unitary representations
New insights into the algebraic topology of 3-manifolds
Abstract
We determine which 3-manifolds admit a unitary representation such that the corresponding twisted chain complex is acyclic.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.