Two Bridge Knots Have Property mathbf P is popular PDF and ePub book, written by Moto-o Takahashi in 1981, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Two Bridge Knots Have Property mathbf P can be Read Online from any device for your convenience.
Two Bridge Knots Have Property mathbf P Book PDF Summary
A knot K is said to have Property P if simply-connected 3-manifolds cannot be obtained by non-trivial Dehn surgeries along K. Torus knots, twist knots, a class of 2-bridge knots, and 2-bridge knots with 9 or fewer crossings are known to have Property P. On the other hand, Ochiai proves that the 3-sphere cannot be obtained by a non-trivial surgery along a two-bridge knot. In this monograph we shall prove that every non-trivial two-bridge knot has Property P. In the proof we shall use Bezout's theorem in algebraic geometry.
Detail Book of Two Bridge Knots Have Property mathbf P PDF
- Author : Moto-o Takahashi
- Release : 22 September 1981
- Publisher : American Mathematical Soc.
- ISBN : 9780821822395
- Genre : Mathematics
- Total Page : 112 pages
- Language : English
- PDF File Size : 8,7 Mb
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