Article
Licensed
Unlicensed
Requires Authentication
A geometric study of generalized Neuwirth groups
Published/Copyright:
October 13, 2006
Abstract
We define a family of groups with balanced presentations and prove that these groups correspond to spines (or, equivalently, to Heegaard diagrams) of a certain class of Seifert fibered 3-manifolds. These manifolds are constructed from triangulated 3-balls by identifying pairs of boundary faces via orientation-reversing homeomorphisms. Then we describe the manifolds as cyclic branched coverings of certain lens spaces when the groups are cyclically presented. Finally, we give explicit computations of the Casson-Walker-Lescop invariant and the Rohlin invariant for many manifolds in the above class.
Received: 2005-02-07
Published Online: 2006-10-13
Published in Print: 2006-09-01
© Walter de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Evenness symmetry and inter-relationships between gap probabilities in random matrix theory
- Higher-order Sobolev and Poincaré inequalities in Orlicz spaces
- Characteristically nilpotent Lie algebras and symplectic structures
- Equalities in algebras of generalized functions
- A geometric study of generalized Neuwirth groups
- On C. T. C. Wall's suspension theorem
- On compactness of Sobolev embeddings in rearrangement-invariant spaces
- Extending rationally connected fibrations
Articles in the same Issue
- Evenness symmetry and inter-relationships between gap probabilities in random matrix theory
- Higher-order Sobolev and Poincaré inequalities in Orlicz spaces
- Characteristically nilpotent Lie algebras and symplectic structures
- Equalities in algebras of generalized functions
- A geometric study of generalized Neuwirth groups
- On C. T. C. Wall's suspension theorem
- On compactness of Sobolev embeddings in rearrangement-invariant spaces
- Extending rationally connected fibrations
