Thomas W. Mattman
Published 1999-11-12, updated 2001-08-08Version 3
We show that the SL(2,C)-character variety of the (-2,3,n) pretzel knot consists of two (respectively three) algebraic curves when 3 does not divide n (respectively 3 divides n) and give an explicit calculation of the Culler-Shalen seminorms of these curves. Using this calculation, we describe the fundamental polygon and Newton polygon for these knots and give a list of Dehn surgeries yielding a manifold with finite or cyclic fundamental group. This constitutes a new proof of property P for these knots.
Comments: 34 pages, 11 figures; Results unchanged but major revision of logic and more detailed arguments
Dehn surgeries on 2-bridge links which yield reducible 3-manifolds
Dehn surgeries and rational homology balls
An algorithm for computing the $Υ$-invariant and the $d$-invariants of Dehn surgeries
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