Rack invariants of links in L(p,1)

Horvat, Eva (author)

We describe a presentation for the augmented fundamental rack of a link in the lens space ▫$L(p,1)$▫. Using this presentation, the (enhanced) counting rack invariants that have been defined for the classical links are applied to the links in ▫$L(p,1)$▫. In this case, the counting rack invariants also include the information about the action of ▫$\pi_{1}(L(p,1))$▫ on the augmented fundamental rack of a link.

• Language: English
• Keywords: racks, counting invariants, links in lens spaces
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education
• Year: 2019
• Number of pages: art. 1950070
• Numbering: Vol. 28, no. 10
• PID: 20.500.12556/RUL-116714
• UDC: 515.162
• ISSN on article: 0218-2165
• DOI: 10.1142/S0218216519500706
• COBISS.SI-ID: 18736985
• Publication date in RUL: 05.06.2020

Record is a part of a journal

• Title: Journal of knot theory and its ramifications
• Shortened title: J. knot theory ramif.
• Publisher: World Scientific
• ISSN: 0218-2165
• COBISS.SI-ID: 3996249

Secondary language

• Language: Slovenian
• Title: Klapne invariante spletov v lečastem prostoru L(p,1)

Abstract

Opišemo prezentacijo avgmentirane fundamentalne klape spleta v lečastem prostoru ▫$L(p,1)$▫. Z uporabo te prezentacije lahko preštevalne invariante klasičnih spletov uporabimo za splete v ▫$L(p,1)$▫. V tem primeru preštevalne invariante vključujejo informacijo o delovanju fundamentalne grupe lečastega prostora na fundamentalno klapo spleta.