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A spanning tree expansion of the jones polynomial

- M. Thistlethwaite
- Mathematics
- 1987

A NEW combinatorial formulation of the Jones polynomial of a link is used to establish some basic properties of this polynomial. A striking consequence of these properties is the result that a link… Expand

Some links with non-trivial polynomials and their crossing-numbers

- W. Lickorish, M. Thistlethwaite
- Mathematics
- 1 December 1988

One of the main applications of the Jones polynomial invariant of oriented links has been in understanding links with (reduced, connected) alternating diagrams [2], [8], [9]. The Jones polynomial for… Expand

Flexing closed hyperbolic manifolds.

- D. Cooper, D. Long, M. Thistlethwaite
- Mathematics
- 17 December 2007

We show that for certain closed hyperbolic manifolds, one can nontrivially deform the real hyperbolic structure when it is considered as a real projective structure. It is also shown that in the… Expand

The first 1,701,936 knots

- J. Hoste, M. Thistlethwaite, J. Weeks
- Mathematics
- 1 September 1998

inc lude all pr ime knots wi th 16 or fewer crossings. This r epresen t s more than a 130-fold increase in the number of t abu la ted knots s ince the last burs t of tabula t ion tha t t ook p lace… Expand

Kauffman's polynomial and alternating links

- M. Thistlethwaite
- Mathematics
- 1988

These theorems result in quick tests which will often distinguish between links having alternating diagrams with the same number of crossings; links having reduced alternating diagrams with different… Expand

The rate of growth of the number of prime alternating links and tangles

- C. Sundberg, M. Thistlethwaite
- Mathematics
- 1 February 1998

When introduced to the subject of knot theory, it is natural to ask how the number of knots and links grows in relation to crossing number. The purpose of this article is to address this question for… Expand

Classification of knot projections

- C. H. Dowker, M. Thistlethwaite
- Mathematics
- 1 July 1983

Abstract The first step in tabulating the non-composite knots with n crossings is the tabulation of the non-singular plane projections of such knots, where two (piecewise linear) projections are… Expand

The Tait flyping conjecture

- W. Menasco, M. Thistlethwaite
- Mathematics
- 1 October 1991

We announce a proof of the Tait flyping conjecture; the confirmation of this conjecture renders almost trivial the problem of deciding whether two given alternating link diagrams represent equivalent… Expand

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