The Alexander polynomial for closed braids in lens spaces

Gabrovšek, Boštjan (author), Horvat, Eva (author)

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
• UDC: 515.162
• ISSN on article: 0022-4049
• COBISS.SI-ID: 18885209
• Publication date in RUL: 05.06.2020

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

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