CaTherine wheels unify structures across fields by providing a canonical bijection between orbit-equivalence classes of pseudo-Anosov flows without perfect fits, G-equivariant CaTherine wheels, minimal G-zippers, and connected components of uniform quasimorphisms for the fundamental group of any闭ed
Thurston,Hyperbolic Structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle, preprint,https://arxiv.org/abs/math/9801045
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admits a geometric decomposition. Double limit theorem: for any sequence of quasi-Fuchsian groups whose controlling pair of conformal structures tends toward a pair of projectively measured laminations that bind the surface, there is a convergent subsequence. This preprint also analyzes the quasi-isometric geometry of quasi-Fuchsian 3-manifolds. This eprint is based on a 1986 preprint, which was refereed and accepted for publication, but which I neglected to correct and return. The referee's corrections have now been incorporated, but it is largely the same as the 1986 version (which was a significant revision of a 1981 version).
fields
math.GT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
An overview of the geometrisation theorem for 3-manifolds that explains its content and effects in various situations.
citing papers explorer
-
CaTherine wheels
CaTherine wheels unify structures across fields by providing a canonical bijection between orbit-equivalence classes of pseudo-Anosov flows without perfect fits, G-equivariant CaTherine wheels, minimal G-zippers, and connected components of uniform quasimorphisms for the fundamental group of any闭ed
-
Geometrisation of 3-manifolds
An overview of the geometrisation theorem for 3-manifolds that explains its content and effects in various situations.