2025-02-23T03:04:10-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22ujp2-article-2018401%22&qt=morelikethis&rows=5
2025-02-23T03:04:10-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22ujp2-article-2018401%22&qt=morelikethis&rows=5
2025-02-23T03:04:10-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T03:04:10-05:00 DEBUG: Deserialized SOLR response
Полiномiальнi iнварiанти Хомфлi для торичних вузлiв і бозонне (q, p)-числення

Полiномiальнi iнварiанти Хомфлi для торичних вузлiв і бозонне (q, p)-числення

For the one-parameter Alexander (Jones) skein relation we introduce the Alexander (Jones) “bosonic” q-numbers, and for the two-parameter HOMFLY skein relation we propose the HOMFLY “bosonic” (q, p)-numbers (“bosonic” numbers connected with deformed bosonic oscillators). With the help of these deform...

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Bibliographic Details
Main Author: Pavlyuk, A. M.
Format: Article
Language:English
Published: Publishing house "Academperiodika" 2018
Subjects:
polynomial invariant
knot
link
Alexander, Jones, and HOMFLY skein relations
“bosonic” q-numbers
“bosonic” (q, p)-numbers
Online Access:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018401
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Summary:For the one-parameter Alexander (Jones) skein relation we introduce the Alexander (Jones) “bosonic” q-numbers, and for the two-parameter HOMFLY skein relation we propose the HOMFLY “bosonic” (q, p)-numbers (“bosonic” numbers connected with deformed bosonic oscillators). With the help of these deformed “bosonic” numbers, the corresponding skein relations can be reproduced. Analyzing the introduced “bosonic” numbers, we point out two ways of obtaining the two-parameter HOMFLY skein relation (“bosonic” (q, p)-numbers) from the one-parameter Alexander and Jones skein relations (from the corresponding “bosonic” q-numbers). These two ways of obtaining the HOMFLY skein relation are equivalent.

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