On Conway’s potential function for colored links
نویسندگان
چکیده
منابع مشابه
Links in edge-colored graphs
A graph is k-linked (k-edge-linked), k ≥ 1, if for each k pairs of vertices x1, y1, · · · , xk, yk, there exist k pairwise vertex-disjoint (respectively edge-disjoint) paths, one per pair xi and yi, i = 1, 2, · · · , k. Here we deal with the properly-edge-colored version of the k-linked (kedge-linked) problem in edge-colored graphs. In particular, we give conditions on colored degrees and/or nu...
متن کاملOn the colored Jones polynomials of ribbon links, boundary links and Brunnian links
Habiro gave principal ideals of Z[q, q−1] in which certain linear combinations of the colored Jones polynomials of algebraically-split links take values. The author proved that the same linear combinations for ribbon links, boundary links and Brunnian links are contained in smaller ideals of Z[q, q−1] generated by several elements. In this paper, we prove that these ideals also are principal, e...
متن کاملColored Jones Invariants of Links In
We extend the definition of the colored Jones polynomials to framed links and trivalent graphs in S3#kS 2 × S using a state-sum formulation based on Turaev’s shadows. Then, we prove that the natural extension of the Volume Conjecture is true for an infinite family of hyperbolic links.
متن کاملcompactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولThe Blanchfield Pairing of Colored Links
It is well known that the Blanchfield pairing of a knot can be expressed using Seifert matrices. In this paper, we compute the Blanchfield pairing of a colored link with non-zero Alexander polynomial. More precisely, we show that the Blanchfield pairing of such a link can be written in terms of generalized Seifert matrices which arise from the use of C-complexes.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Mathematica Sinica, English Series
سال: 2014
ISSN: 1439-8516,1439-7617
DOI: 10.1007/s10114-015-4428-9