Geodesic
Twisted Blanchfield pairings and twisted signatures III: Applications
Glasgow mathematical journal, Tome 66 (2024) no. 3, pp. 501-540

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

DOI

This paper describes how to compute algorithmically certain twisted signature invariants of a knot $K$ using twisted Blanchfield forms. An illustration of the algorithm is implemented on $(2,q)$-torus knots. Additionally, using satellite formulas for these invariants, we also show how to obstruct the sliceness of certain iterated torus knots.
DOI : 10.1017/S0017089524000077
Mots-clés : Knot concordance, Twisted Blanchfield forms, Twisted Alexander polynomials 
Borodzik, Maciej; Conway, Anthony; Politarczyk, Wojciech. Twisted Blanchfield pairings and twisted signatures III: Applications. Glasgow mathematical journal, Tome 66 (2024) no. 3, pp. 501-540. doi: 10.1017/S0017089524000077
@article{10_1017_S0017089524000077,
     author = {Borodzik, Maciej and Conway, Anthony and Politarczyk, Wojciech},
     title = {Twisted {Blanchfield} pairings and twisted signatures {III:} {Applications}},
     journal = {Glasgow mathematical journal},
     pages = {501--540},
     year = {2024},
     volume = {66},
     number = {3},
     doi = {10.1017/S0017089524000077},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000077/}
}
TY  - JOUR
AU  - Borodzik, Maciej
AU  - Conway, Anthony
AU  - Politarczyk, Wojciech
TI  - Twisted Blanchfield pairings and twisted signatures III: Applications
JO  - Glasgow mathematical journal
PY  - 2024
SP  - 501
EP  - 540
VL  - 66
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000077/
DO  - 10.1017/S0017089524000077
ID  - 10_1017_S0017089524000077
ER  - 
%0 Journal Article
%A Borodzik, Maciej
%A Conway, Anthony
%A Politarczyk, Wojciech
%T Twisted Blanchfield pairings and twisted signatures III: Applications
%J Glasgow mathematical journal
%D 2024
%P 501-540
%V 66
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000077/
%R 10.1017/S0017089524000077
%F 10_1017_S0017089524000077

Cité par Sources :