No Access

A DIAGRAMMATIC ALEXANDER INVARIANT OF TANGLES

STEPHEN BIGELOW

Department of Mathematics, University of California, Santa Barbara, CA 93106, USA

https://doi.org/10.1142/S0218216512500812Cited by:3 (Source: Crossref)

Abstract

We give a new construction of the one-variable Alexander polynomial of an oriented knot or link, and show that it generalizes to a vector valued invariant of oriented tangles.

Keywords:

AMSC: 57M27

References

J. Archibald, Acta Math. Vietnam 33(3), 459 (2008). Google Scholar
S. Bigelow, A. Cattabriga and V. Florens, Alexander representation of tangles, preprint (2012) , arXiv:1203.4590 . Google Scholar
D. Cimasoni and V. Turaev, Topology 44(4), 747 (2005). Crossref, Web of Science, Google Scholar
V. F. R. Jones, Planar algebras, I, preprint (1999), to appear in New Zealand J. Math , arXiv: math.QA/9909027 . Google Scholar
L. H. Kauffman, Trans. Amer. Math. Soc. 318(2), 417 (1990). Crossref, Web of Science, Google Scholar
S. Naik and T. Stanford, J. Knot Theory Ramifications 12(5), 717 (2003). Link, Web of Science, Google Scholar