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- W2740178932 abstract "Given a 2-bridge knot K, Ohtsuki, Riley, and Sakuma show how to construct infinitely many other 2-bridge knots or links which are “greater than,” or “cover” K. In this paper we explore the question of whether, given two 2-bridge knots or links J and K, there exists a 2-bridge knot or link L which is an ORS cover of both J and K. In particular, we show that if J and K are the trefoil and figure eight knots, respectively, then no such 2-bridge knot L can be obtained via the construction of Ohtsuki, Riley, and Sakuma. Furthermore, we classify all 2-bridge knots which share a common ORS knot cover with either the trefoil or figure eight knot." @default.
- W2740178932 created "2017-08-08" @default.
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- W2740178932 date "2010-07-19" @default.
- W2740178932 modified "2023-09-27" @default.
- W2740178932 title "Two-bridge knots with common ORS covers" @default.
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