A Dehn surgery description of regular finite cyclic covering spaces of rational homology spheres

Authors
Citation
Cl. Curtis, A Dehn surgery description of regular finite cyclic covering spaces of rational homology spheres, J KNOT TH R, 10(3), 2001, pp. 397-413
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
ISSN journal
02182165 → ACNP
Volume
10
Issue
3
Year of publication
2001
Pages
397 - 413
Database
ISI
SICI code
0218-2165(200105)10:3<397:ADSDOR>2.0.ZU;2-G
Abstract
We provide related Dehn surgery descriptions for rational homology spheres and a class of their regular finite cyclic covering spaces. As an applicati on, we use the surgery descriptions to relate the Casson invariants of the covering spaces to that of the base space. Finally, we show that this place s restrictions on the number of finite and cyclic Dehn fillings of the knot complements in the covering spaces beyond those imposed by Culler-Gordon-L uecke-Shalen and Boyer-Zhang.