The Alexander polynomial of links in lens spaces
We show how the Alexander polynomial of links in lens spaces is related to the classical Alexander polynomial of a link in the 3-sphere, obtained by cutting out the exceptional lens space fiber. It follows from this relationship that a certain normalization of the Alexander polynomial satisfies a skein relation in lens spaces.
Pokažemo, kako je Aleksandrov polinom spletov v lečastih prostorih povezan s klasičnim Aleksandrovim polinomom spleta v 3-sferi, ki ga dobimo, če izrežemo izjemno vlakno lečastega prostora. Iz te povezave sledi, da normalizacija Aleksandrovega polinoma v lečastem prostoru ustreza premenjalni relaciji.
2019
2020-06-05 08:51:57
1033
links in lens spaces, links in 3-manifolds, Alexander polynomial, skein relation
dk_c
Eva
Horvat
70
Boštjan
Gabrovšek
70
UDK
4
515.162
ISSN pri članku
9
0218-2165
DOI
15
10.1142/S0218216519500494
COBISS_ID
3
18686041
OceCobissID
13
3996249
RAZ_Horvat_Eva_2019.pdf
500169
Predstavitvena datoteka
2020-06-05 08:52:29