Characters in Low-Dimensional Topology

ISBN-13: 9781470452094

Olivier Collin;Stefan Friedl;Cameron Gordon

Opis

This volume contains the proceedings of a conference celebrating the work of Steven Boyer, held from June 2-8, 2018, at Universite du Quebec a Montreal, Montreal, Quebec, Canada. Boyer's contributions to research in low-dimensional geometry and topology, and to the Canadian mathematical community, were recognized during the conference. The articles cover a broad range of topics related, but not limited, to the topology and geometry of 3-manifolds, properties of their fundamental groups and associated representation varieties.

Spis treści

• Hyperbolic four-manifolds with vanishing Seiberg-Witten invariants
• Farey recursion and the character varieties for 2-bridge knots
• Virtually special embeddings of inegral Lorentzian lattices
• An exposition of the equivalence of Heegaard Floer homology and embedded contact homology
• Degenerations of representations and thin triangles
• Taut foliations from double-diamond replacements
• A census of exceptional Dehn fillings
• Parallelism on Lie groups and Fox's free differential calculus
• Culler-Shalen seminorms of fillings of the Whitehead link exterior
• Alternating knots with large boundary slope diameter
• Degeneration of strictly convex real projective structures on surfaces
• Examples of character varieties in characteristic $p$ and ramification
• Gonality and genus of canonical components of character varieties
• Tropical varieties associated to ideal triangulations: The Whitehead link complement
• A note on the coherence of 3-manifold groups
• Remarks on $SU(2)$-simple knots and $SU(2)$-cyclic 3-manifolds.