Title of article
A graphical approach to the Melvin-Morton Conjecture, Part I
Author/Authors
B.I. Kurpita، نويسنده , , B.I. and Murasugi، نويسنده , , K.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 1998
Pages
20
From page
297
To page
316
Abstract
Our aim is to give a proof of the Melvin-Morton Conjecture—the “truncated” Jones polynomial is equal to the reciprocal of the Alexander polynomial—in terms of techniques from knot and graph theory. In this paper, we show that the Melvin-Morton Conjecture holds for 3-braids. The techniques developed in this paper form a basis for a proof of the Melvin-Morton Conjecture for all braids, which we will discuss in a subsequent paper, Part II.
Keywords
graph , Braid , Alexander polynomial , Coloured Jones polynomial , knot
Journal title
Topology and its Applications
Serial Year
1998
Journal title
Topology and its Applications
Record number
1575807
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