Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Jiang, Boju"'
Publikováno v:
J. Knot Theory Ramif. 26 (2017), no. 6, 1742003, 14 pp
We give characterizations of the skein polynomial for links (as well as Jones and Alexander-Conway polynomials derivable from it), avoiding the usual "smoothing of a crossing" move. As by-products we have characterizations of these polynomials for kn
Externí odkaz:
http://arxiv.org/abs/1605.00070
Publikováno v:
In Topology and its Applications 15 June 2021 297
Autor:
Jiang, Boju
Publikováno v:
Acta Math. Sinica (English Series), 32 (2016) no.1, 25-39
The Conway potential function (CPF) for colored links is a convenient version of the multi-variable Alexander-Conway polynomial. We give a skein characterization of CPF, much simpler than the one by Murakami. In particular, Conway's `smoothing of cro
Externí odkaz:
http://arxiv.org/abs/1407.3081
Publikováno v:
Fund. Math., 214 (2011), 57--75
Solenoids are ``inverse limits'' of the circle, and the classical knot theory is the theory of tame embeddings of the circle into the 3-space. We give some general study, including certain classification results, of tame embeddings of solenoids into
Externí odkaz:
http://arxiv.org/abs/math/0611900
Publikováno v:
Proc. Amer. Math. Soc. 136 (2008), no. 10, 3697-- 3700
A quick proof of Bing's theorem indicated by the title is given. The proof also concludes Gumerov's result on covering degrees of solenoids.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/math/0610820
Autor:
Jiang, Boju, Zheng, Hao
Publikováno v:
Topology 47 (2008), no. 1, 51--70
The forcing relation of braids has been introduced for a 2-dimensional analogue of the Sharkovskii order on periods for maps of the interval. In this paper, by making use of the Nielsen fixed point theory and a representation of braid groups, we dedu
Externí odkaz:
http://arxiv.org/abs/math/0509117
We say a knot $k$ in the 3-sphere $\mathbb S^3$ has {\it Property $IE$} if the infinite cyclic cover of the knot exterior embeds into $\mathbb S^3$. Clearly all fibred knots have Property $IE$. There are infinitely many non-fibred knots with Property
Externí odkaz:
http://arxiv.org/abs/math/0505206