ǂThe ǂAlexander polynomial of links in lens spaces
Abstract
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.
Keywords
links in lens spaces;links in 3-manifolds;Alexander polynomial;skein relation;
Data
| Language: | English |
|---|---|
| Year of publishing: | 2019 |
| Typology: | 1.01 - Original Scientific Article |
| Organization: | UL FS - Faculty of Mechanical Engineering |
| UDC: | 515.162 |
| COBISS: |
18686041
|
| ISSN: | 0218-2165 |
| Views: | 380 |
| Downloads: | 251 |
| Average score: | 0 (0 votes) |
| Metadata: |
|
Other data
| Secondary language: | Slovenian |
|---|---|
| Secondary title: | O Aleksandrovem polinomu spletov v lečastih prostorih |
| Secondary abstract: | 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. |
| Type (COBISS): | Article |
| Pages: | str. 1-28 |
| Volume: | ǂVol. ǂ28 |
| Issue: | ǂno. ǂ8 |
| Chronology: | July 2019 |
| DOI: | 10.1142/S0218216519500494 |
| ID: | 11797779 |
Recommended works:
ǂThe ǂAlexander polynomial of links in lens spaces
2019,
no subtitle data available
ǂThe ǂAlexander polynomial for closed braids in lens spaces
2020,
no subtitle data available
Rack invariants of links in L(p,1)
2019,
no subtitle data available
Alexandrov polinom
2017,
delo diplomskega seminarja
Izrek o izravnavi
2019,
delo diplomskega seminarja