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The Alexander polynomial for closed braids in lens spaces
ID Gabrovšek, Boštjan (Author), ID Horvat, Eva (Author)

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Abstract
We present a reduced Burau-like representation for the mixed braid group on one strand representing links in lens spaces and show how to calculate the Alexander polynomial of a link directly from the mixed braid.

Language:English
Keywords:Burau representation, Alexander polynomial, links in lens spaces, mixed braids, mixed braid group
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Year:2020
Number of pages:Str. 1-8
Numbering:art. 106253, iss. 6
PID:20.500.12556/RUL-116715 This link opens in a new window
UDC:515.162
ISSN on article:0022-4049
COBISS.SI-ID:18885209 This link opens in a new window
Publication date in RUL:05.06.2020
Views:928
Downloads:388
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Record is a part of a journal

Title:Journal of pure and applied algebra
Shortened title:J. pure appl. algebra
Publisher:Elsevier
ISSN:0022-4049
COBISS.SI-ID:4746506 This link opens in a new window

Secondary language

Language:Slovenian
Title:Alexandrov polinom sklenjenih kit v lečastih prostorih
Abstract:
Vpeljemo reducirano Burauovo reprezentacijo za mešano grupo kit na eni niti, ki predstavlja splet v lečastem prostoru in pokažemo kako izračunati Alexandrov polinom spleta neposredno iz mešane kite.

Keywords:Burauova reprezentacija, Alexandrov polinom, splet v lečastem prostoru, mešana kita, mešana grupa kit

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