منابع مشابه
Involutions of 3-dimensional Handlebodies
We study the orientation preserving involutions of the orientable 3-dimensional handlebody Hg, for any genus g. A complete classification of such involutions is given in terms of their fixed points.
متن کاملAutomorphisms of 3-Dimensional Handlebodies
This paper gives a classification up to isotopy of automorphisms (self-homeomorphisms) of 3-dimensional handlebodies and compression bodies, analogous to the Nielsen-Thurston classification of automorphisms of surfaces. Indecomposable automorphisms analogous to pseudo-Anosov automorphisms are identified and called generic. The first steps are taken towards understanding generic automorphisms us...
متن کاملA Unique Decomposition of Involutions of Handlebodies
We consider a PL involution of an orientable, 3-dimensional handlebody for which each component of the fixed point set is 2-dimensional. The handlebody is uniquely equivariantly decomposed as a disk sum of handlebodies Mi such that if M,■ = A¡ X /, then h | M¡ is equivalent to (i) a X id,, where a is an involution of A, or to (Ü) ida X r, where r(t) = -t for allí s / = [-1,1].
متن کاملAttaching handlebodies to 3–manifolds
The main theorem of this paper is a generalisation of well known results about Dehn surgery to the case of attaching handlebodies to a simple 3–manifold. The existence of a finite set of ‘exceptional’ curves on the boundary of the 3–manifold is established. Provided none of these curves is attached to the boundary of a disc in a handlebody, the resulting manifold is shown to be word hyperbolic ...
متن کامل3-manifolds Built from Injective Handlebodies
This paper looks at a class of closed orientable 3-manifolds constructed from a gluing of three handlebodies, such that the inclusion of each handlebody is π1-injective. This construction is the generalisation to handlebodies of the condition for gluing three solid tori to produce non-Haken Seifert fibered 3-manifolds with infinite fundamental group. It is shown that there is an efficient algor...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2011
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm215-2-1