Dehn twist information

In geometric topology, a branch of mathematics, a Dehn twist is a certain type of self-homeomorphism of a surface (two-dimensional manifold). Suppose that...

been named for Dehn. Among them: Dehn's rigidity theorem Dehn invariant Dehn's algorithm Dehn's lemma Dehn plane Dehn surgery Dehn twist Dehn–Sommerville...

the Dehn twist about c {\displaystyle c} . If c {\displaystyle c} is not null-homotopic this mapping class is nontrivial, and more generally the Dehn twists...

M(f)} has Euclidean geometry. If f {\displaystyle f} is a power of a Dehn twist then M ( f ) {\displaystyle M(f)} has Nil geometry. Finally, if f {\displaystyle...

identity, a Dehn twist on a two-sided curve which does not bound a Möbius strip, the y-homeomorphism of Lickorish, and the product of the twist and the y-homeomorphism...

redirect targets is an isomorphism between metric spaces Homeomorphism group Dehn twist Homeomorphism (graph theory) – Concept in graph theory (closely related...

Steiner surface Alexander horned sphere Klein bottle Mapping class group Dehn twist Nielsen–Thurston classification Moise's Theorem (see also Hauptvermutung)...

Compact manifolds with this geometry include the mapping torus of a Dehn twist of a 2-torus, or the quotient of the Heisenberg group by the "integral...

algorithm which produces a triangulated 3-manifold, given input a word (in Dehn twist generators) for the mapping class group of a surface. The 3-manifold is...

\left({\begin{smallmatrix}1&1\\0&1\end{smallmatrix}}\right)} (geometrically a Dehn twist about one of the generating curves) acts as this matrix on Z 2 {\displaystyle...

|\gamma |=1.1072538} . A twisted rabbit is the composition of a rabbit polynomial with n {\displaystyle n} powers of Dehn twists about its ears. The corabbit...

group generated by Dehn twists; this has been proved by Max Dehn, W. B. R. Lickorish, and Allen Hatcher).[citation needed] Max Dehn and Jakob Nielsen showed...

Klein bottle times S1 and other is the surface bundle associated to a Dehn twist of the Klein bottle. They are homeomorphic to the torus bundles {b; (n1...

between certain Dehn twists in the mapping class group of a surface. The most general version of the relation involves seven Dehn twists. The relation was...

hyperbolic links. As a consequence of Thurston's hyperbolic Dehn surgery theorem, performing Dehn surgeries on a hyperbolic link enables one to obtain many...

Arthur P. Jacobs recruited Paul Dehn to write a new script with a brief telegram: "Apes exist, sequel required." Dehn immediately started work on what...

aba=bab,(aba)^{4}\rangle } topologically a and b can be visualized as Dehn twists on the torus GL(2, Z) ⟨ a , b , j ∣ a b a = b a b , ( a b a ) 4 , j 2...

"Very small group actions on R {\displaystyle \mathbb {R} } -trees and Dehn twist automorphisms", Topology, 34 (3): 575–617, doi:10.1016/0040-9383(94)00038-M...

Berwick Prize of the London Mathematical Society, for her research using Dehn twists to study the symmetries of symplectic manifolds. Keating, Ailsa, About...

2-dimensional 1-handle and modifying the monodromy by adding a positive Dehn twist along a curve that runs over that handle exactly once. Implicit in this...

Teichmuller space of a 4-times punctured sphere by a group generated by Dehn twists around a curve, and so is topologically an annulus. Bers slice Keen,...