Geodesic
Twisted Alexander Invariants Detect Trivial Links
Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 283-299

Voir la notice de l'article provenant de la source Cambridge

DOI

It follows from earlier work of Silver and Williams and the authors that twisted Alexander polynomials detect the unknot and the Hopf link. We now show that twisted Alexander polynomials also detect the trefoil and the figure-8 knot, that twisted Alexander polynomials detect whether a link is split and that twisted Alexander modules detect trivial links. We use this result to provide algorithms for detecting whether a link is the unlink, whether it is split, and whether it is totally split.
DOI : 10.4153/CMB-2016-097-x
Mots-clés : 57M27, twisted Alexander polynomial, virtual fibering theorem, unlink detection 
Friedl, Stefan; Vidussi, Stefano. Twisted Alexander Invariants Detect Trivial Links. Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 283-299. doi: 10.4153/CMB-2016-097-x
@article{10_4153_CMB_2016_097_x,
     author = {Friedl, Stefan and Vidussi, Stefano},
     title = {Twisted {Alexander} {Invariants} {Detect} {Trivial} {Links}},
     journal = {Canadian mathematical bulletin},
     pages = {283--299},
     year = {2017},
     volume = {60},
     number = {2},
     doi = {10.4153/CMB-2016-097-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-097-x/}
}
TY  - JOUR
AU  - Friedl, Stefan
AU  - Vidussi, Stefano
TI  - Twisted Alexander Invariants Detect Trivial Links
JO  - Canadian mathematical bulletin
PY  - 2017
SP  - 283
EP  - 299
VL  - 60
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-097-x/
DO  - 10.4153/CMB-2016-097-x
ID  - 10_4153_CMB_2016_097_x
ER  - 
%0 Journal Article
%A Friedl, Stefan
%A Vidussi, Stefano
%T Twisted Alexander Invariants Detect Trivial Links
%J Canadian mathematical bulletin
%D 2017
%P 283-299
%V 60
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-097-x/
%R 10.4153/CMB-2016-097-x
%F 10_4153_CMB_2016_097_x

Cité par Sources :