Toroidal integer homology three‐spheres have irreducible SU(2)$SU(2)$‐representations

DOI10.1112/topo.12275zbMath1530.57029arXiv2101.02621OpenAlexW4321327825MaRDI QIDQ6095185

Raphael Zentner, Juanita Pinzón-Caicedo, Tye Lidman

Publication date: 15 September 2023

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.02621

zbMATH Keywords

instanton Floer homologyholonomy perturbationsrepresentations into \(\mathrm{SU}(2)\)three-dimensional homology sphere

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Floer homology (57R58)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Obstructions to Lagrangian concordance
• Knots, sutures, and excision
• Lifting representations to covering groups
• The characteristic toric splitting of irreducible compact 3-orbifolds
• Haken manifolds and representations of their fundamental groups in SL(2,\({\mathbb{C}})\)
• A sum formula for Casson's \(\lambda\)-invariant
• Integer homology 3-spheres admit irreducible representations in \(\mathrm{SL}(2,{\mathbb C})\)
• Stein fillings and \(\operatorname{SU}(2)\) representations
• Dehn surgery, the fundamental group and \(\operatorname{SU}(2)\)
• An instanton-invariant for 3-manifolds
• Witten's conjecture and Property P
• Nonseparating spheres and twisted Heegaard Floer homology
• Mazur-type manifolds with \(L\)-space boundary
• A class of knots with simple \(SU(2)\)-representations
• Remarks on the cohomology of groups
• Knot homology groups from instantons
• TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2
• Instanton Homology of Seifert Fibred Homology Three Spheres
• Varieties of Group Representations and Casson's Invariant for Rational Homology 3-Spheres
• Dehn Surgery and Satellite Knots
• Varieties of representations of finitely generated groups
• Bordered Floer homology and existence of incompressible tori in homology spheres
• A Menagerie of SU(2)-Cyclic 3-Manifolds
• Graph manifold ℤ-homology 3-spheres and taut foliations
• ON THE HOMOLOGY INVARIANTS OF KNOTS

This page was built for publication: Toroidal integer homology three‐spheres have irreducible SU(2)$SU(2)$‐representations