Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/11573
Title: Quantum invariants of knotoids
Authors: Güğümcü, Neslihan
Kauffman, Louis H.
Keywords: Quantum invariants
Knotoid diagrams
Knotoids
Issue Date: 2021
Publisher: Springer
Abstract: In this paper, we construct quantum invariants for knotoid diagrams in R-2. The diagrams are arranged with respect to a given direction in the plane (Morse knotoids). A Morse knotoid diagram can be decomposed into basic elementary diagrams each of which is associated to a matrix that yields solutions of the quantum Yang-Baxter equation. We recover the bracket polynomial, and define the rotational bracket polynomial, the binary bracket polynomial, the Alexander polynomial, the generalized Alexander polynomial and an infinity of specializations of the Homflypt polynomial for Morse knotoids via quantum state sum models.
URI: https://doi.org/10.1007/s00220-021-04081-3
https://hdl.handle.net/11147/11573
ISSN: 0010-3616
1432-0916
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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