Compressing handlebodies with holes
β Scribed by W. Menasco; A. Thompson
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 749 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0040-9383
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The equivalence (or weak equivalence) classes of orientation-preserving free actions of a ΓΏnite group G on an orientable three-dimensional handlebody of genus g ΒΏ 1 can be enumerated in terms of sets of generators of G. They correspond to the equivalence classes of generating n-vectors of elements o
For a finite group G and a nonnegative integer g, let Q g denote the number of q-equivalence classes of orientation-preserving G-actions on the handlebody of genus g which have genus zero quotient. Let q(z)= g 0 Q g z g be the associated generating function. When G has at most one involution, we sho