We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
TOPOLOGICAL RIGIDITY AND ACTIONS ON CONTRACTIBLE MANIFOLDS WITH DISCRETE SINGULAR SET.
- Authors
CONNOLLY, FRANK; DAVIS, JAMES F.; QAYUM KHAN
- Abstract
The problem of equivariant rigidity is the Γ-homeomorphism classification of Γ-actions on manifolds with compact quotient and with contractible fixed sets for all finite subgroups of Γ. In other words, this is the classification of cocompact EfinΓ-manifolds. We use surgery theory, algebraic K-theory, and the Farrell-Jones Conjecture to give this classification for a family of groups which satisfy the property that the normalizers of nontrivial finite subgroups are themselves finite. More generally, we study cocompact proper actions of these groups on contractible manifolds and prove that the Efin condition is always satisfied.
- Subjects
GEOMETRIC rigidity; MANIFOLDS (Mathematics); SET theory
- Publication
Transactions of the American Mathematical Society, Series B, 2015, Vol 2, Issue 4, p113
- ISSN
2330-0000
- Publication type
Article
- DOI
10.1090/btran/9