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Rack invariants of links in L(p,1)
Horvat, Eva (Author)

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Abstract
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 (dk_c)
Tipology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Year:2019
Number of pages:art. 1950070
Numbering:Vol. 28, no. 10
UDC:515.162
ISSN on article:0218-2165
DOI:10.1142/S0218216519500706 Link is opened in a new window
COBISS.SI-ID:18736985 Link is opened in a new window
Views:131
Downloads:72
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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 This link opens in a new window

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.


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