Subject: Re: [HM] 20th century mathematics and knot-theory
From: Antreas P. Hatzipolakis (xpolakis@otenet.gr)
Date: Thu Mar 23 2000 - 14:21:08 EST
Volker Eisermann wrote (inter alia):
> I am a graduate student at the University of Bonn, Germany
> working on a thesis about history of knot-theory. It should
> especially shed light on the change in knot-theory that happened
> after the discovery of the Jones polynomial in 1984.
Dear Volker,
Just a comment and a suggestion by a non-familiar with Knots and their theory:
In the literature, the polynomial is also known as "Conway-Jones polynomial"
or "Jones-Conway polynomial". Cf:
Przytycki, Jozef H.: t_k-Equivalence of Links and Conway Formulas
for the Jones-Conway and Kauffman Polynomials.
Bull. Pol. Acad. Sci., Math. 36(1988) 675-680
Vogel, Pierre: Representations et traces des algebres de Hecke.
Polynome de Jones-Conway.
Enseign. Math., II. Ser. 34(1988) 333-356
Gusarov, M.N.: A New Form of the Conway-Jones Polynomial for Orientable Links.
Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 193(1991) 4-9
Lamaugarny, Helene: Specialisations communes entre le polynome de Kauffman
et le polynome de Jones-Conway.
C. R. Acad. Sci., Paris, Ser. I 313(1991) 289-292
Gusarov, M.: A New Form of the Conway-Jones Polynomial of Oriented Links.
In: Viro, Oleg (ed.), Topology of Manifolds and Varieties.
Transl. ed. by A. B. Sossinsky.
Providence, RI: American Math. Society, Adv. Sov. Math. 18(1994) 167-172
The suggestion:
There is a web-based bulletin board with the name: Ask a Topologist.
You can read (and search) the postings, and also post and respond.
The URL is:
http://at.yorku.ca/board/askT/wwwboard.html
Some of the questions posted are of math-history interest. For example:
history of Euler characteristic - Tony Phillips 17:10:33 7/12/99
Wishing you all the Best.
Antreas
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