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Quantum Invariants of Knotoids. / Gügümcü, Neslihan; Kauffman, Louis H.

In: Communications in Mathematical Physics, Vol. 387, No. 3, 11.2021, p. 1681-1728.

Research output: Contribution to journal › Article › peer-review

Harvard

Gügümcü, N & Kauffman, LH 2021, 'Quantum Invariants of Knotoids', Communications in Mathematical Physics, vol. 387, no. 3, pp. 1681-1728. https://doi.org/10.1007/s00220-021-04081-3

APA

Gügümcü, N., & Kauffman, L. H. (2021). Quantum Invariants of Knotoids. Communications in Mathematical Physics, 387(3), 1681-1728. https://doi.org/10.1007/s00220-021-04081-3

Vancouver

Gügümcü N, Kauffman LH. Quantum Invariants of Knotoids. Communications in Mathematical Physics. 2021 Nov;387(3):1681-1728. doi: 10.1007/s00220-021-04081-3

Author

Gügümcü, Neslihan ; Kauffman, Louis H. / Quantum Invariants of Knotoids. In: Communications in Mathematical Physics. 2021 ; Vol. 387, No. 3. pp. 1681-1728.

BibTeX

@article{f2aba5a537924f4fa366a5aa9ebbc6f2,

title = "Quantum Invariants of Knotoids",

abstract = "In this paper, we construct quantum invariants for knotoid diagrams in R2. 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.",

author = "Neslihan G{\"u}g{\"u}mc{\"u} and Kauffman, {Louis H.}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2021",

month = nov,

doi = "10.1007/s00220-021-04081-3",

language = "English",

volume = "387",

pages = "1681--1728",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "3",

}

RIS

TY - JOUR

T1 - Quantum Invariants of Knotoids

AU - Gügümcü, Neslihan

AU - Kauffman, Louis H.

PY - 2021/11

Y1 - 2021/11

N2 - In this paper, we construct quantum invariants for knotoid diagrams in R2. 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.

AB - In this paper, we construct quantum invariants for knotoid diagrams in R2. 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.

UR - http://www.scopus.com/inward/record.url?scp=85114260429&partnerID=8YFLogxK

U2 - 10.1007/s00220-021-04081-3

DO - 10.1007/s00220-021-04081-3

M3 - Article

AN - SCOPUS:85114260429

VL - 387

SP - 1681

EP - 1728

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -

ID: 34423090