Geodesic
Multivariate Signatures of Iterated Torus Links
Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 1, pp. 73-92

Voir la notice de l'article provenant de la source Math-Net.Ru

We compute the multivariate signatures of any Seifert link (that is, a union of some fibers in a Seifert homology sphere), in particular, of the union of a torus link with one or both of its cores (cored torus link). The signatures of cored torus links are used in the Degtyarev–Florens–Lecuona splicing formula for computing multivariate signatures of cables over links. We use Neumann's computation of equivariant signatures of such links. For signatures of torus links with core(s), we also rewrite Neumann's formula in terms of integral points in a certain parallelogram, similarly to Hirzebruch's formula for signatures of torus links (without cores) via integral points in a rectangle.
Keywords: multisignature, iterated torus link, splice diagram. 
@article{FAA_2021_55_1_a6,
     author = {S. Yu. Orevkov},
     title = {Multivariate {Signatures} of {Iterated} {Torus} {Links}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {73--92},
     publisher = {mathdoc},
     volume = {55},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2021_55_1_a6/}
}
TY  - JOUR
AU  - S. Yu. Orevkov
TI  - Multivariate Signatures of Iterated Torus Links
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2021
SP  - 73
EP  - 92
VL  - 55
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2021_55_1_a6/
LA  - ru
ID  - FAA_2021_55_1_a6
ER  - 
%0 Journal Article
%A S. Yu. Orevkov
%T Multivariate Signatures of Iterated Torus Links
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2021
%P 73-92
%V 55
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2021_55_1_a6/
%G ru
%F FAA_2021_55_1_a6
S. Yu. Orevkov. Multivariate Signatures of Iterated Torus Links. Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 1, pp. 73-92. http://geodesic.mathdoc.fr/item/FAA_2021_55_1_a6/