Dehn twist

노트

위키데이터

• ID : Q5252320

말뭉치

1. We show that every Dehn twist in the mapping class group of a closed, connected, orientable surface of genus at least two has a nontrivial root.
2. The corresponding Dehn twist on Σ \Sigma is obtained by extending the self-homeomorphism on the annulus to the entire surface, by taking a point p p to itself if p p is outside the annulus.
3. The generalized Dehn twist along a closed curve in an oriented surface is an algebraic construction which involves intersections of loops in the surface.
4. As the name suggests, for the case where the curve has no self-intersection, it is induced from the usual Dehn twist along the curve.
5. Margalit and Schleimer \cite{MS} discovered a nontrivial root of the Dehn twist about a nonseparating curve on a closed oriented connected surface.
6. As an application, we determine the range of degree for roots of a Dehn twist.
7. γ is the Dehn twist around the simple closed curve γ, then the isotopy class ofT n γ f contains a pseudo-Anosov diffeomorphism except for at most 7 consecutive values ofn.
8. If the loop is simple, this corresponds to the right-handed Dehn twist, and in particular is realized as a diffeomorphism of the surface.
9. We investigate the case where the loop has a single transverse double point, and show that in this case the generalized Dehn twist is not realized as a diffeomorphism.
10. They admit automorphisms that preserve the part at infinity of one fiber and which are analogous to the square of a Dehn twist.
11. Dehn twist along a_i, and let G represent the subgroup of Mod(S) generated by T_1, T_2, and T_3.
12. A new proof will be given that Seidel's generalized Dehn twist is not symplectically isotopic to the identity.

메타데이터

위키데이터

• ID : Q5252320

Spacy 패턴 목록

• [{'LOWER': 'dehn'}, {'LEMMA': 'twist'}]