5,110 research outputs found
Surgery on -manifolds
We show that although closed -manifolds
do not admit metrics of nonpositive sectional curvature, the arguments of
Farrell and Jones can be extended to show that such manifolds are topologically
rigid, if .Comment: 7 pages, AMS-LaTeX file, To appear in the Canadian Mathematical
Bulletin
Seifert fibred knot manifolds
We consider the question of when is the closed manifold obtained by
elementary surgery on an -knot Seifert fibred over a 2-orbifold. After some
observations on the classical case, we concentrate on the cases n=2 and 3. We
have found a new family of 2-knots with torsion-free, solvable group,
overlooked in earlier work. We know of no higher dimensional examples.Comment: New co-author, stronger restrictions on possible Seifert bases. Final
section on 3-knots reduced to a paragraph, as a lemma was misused in the
original version. Version 3; minor improvements to first paragraph and
notatio
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