Mathematics – Geometric Topology
Scientific paper
2000-05-09
Mathematics
Geometric Topology
Ammended version with corrections to original and additional appendix on Alexander polynomials
Scientific paper
We provide related Dehn surgery descriptions for rational homology spheres and a class of their regular finite cyclic covering spaces. As an application, 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 places restrictions on the number of finite and cyclic Dehn fillings of the knot complements in the covering spaces beyone those imposed by Culler-Gordon-Luecke-Shalen and Boyer-Zhang.
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