Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Gügümcü, Neslihan"'
The mock Alexander polynomial is an extension of the classical Alexander polynomial, defined and studied for (virtual) knots and knotoids by the second and third authors. In this paper we consider the mock Alexander polynomial for generalizations of
Externí odkaz:
http://arxiv.org/abs/2406.08253
Autor:
Gügümcü, Neslihan, Pflume, Runa
In this paper we define the fundamental quandle of knotoids and linkoids and prove that it is invariant under the under forbidden-move and hence encodes only the information of the underclosure of the knotoid. We then introduce $n$-pointed quandles,
Externí odkaz:
http://arxiv.org/abs/2404.14083
Autor:
Gügümcü, Neslihan, Kauffman, Louis H.
In this paper, we construct mock Alexander polynomials for starred links and linkoids in surfaces. These polynomials are defined as specific sums over states of link or linkoid diagrams that satisfy $f=n$, where $f$ denotes the number of regions and
Externí odkaz:
http://arxiv.org/abs/2401.12654
Autor:
Gügümcü, Neslihan, Nelson, Sam
In this paper, we introduce biquandle power brackets, an infinite family of invariants of oriented links containing the classical skein invariants and the quandle and biquandle 2-cocycle invariants as special cases. Biquandle power brackets are gener
Externí odkaz:
http://arxiv.org/abs/2401.11956
We study invariants of virtual graphoids, which are virtual spatial graph diagrams with two distinguished degree-one vertices modulo graph Reidemeister moves applied away from the distinguished vertices. Generalizing previously known results, we give
Externí odkaz:
http://arxiv.org/abs/2209.09086
Autor:
Batal, Ahmet, Gügümcü, Neslihan
The region select game, introduced by Ayaka Shimizu, Akio Kawauchi and Kengo Kishimoto, is a game that is played on knot diagrams whose crossings are endowed with two colors. The game is based on the region crossing change moves that induce an unknot
Externí odkaz:
http://arxiv.org/abs/2205.03200
Autor:
Gabrovšek, Boštjan, Gügümcü, Neslihan
In this paper, we extend the definition of a knotoid that was introduced by Turaev, to multi-linkoids that consist of a number of knot and knotoid components. We study invariants of multi-linkoids that lie in a closed orientable surface, namely the K
Externí odkaz:
http://arxiv.org/abs/2204.11234
Autor:
Gügümcü, Neslihan1 (AUTHOR), Kauffman, Louis H.2 (AUTHOR), Pongtanapaisan, Puttipong3 (AUTHOR) ppongtan@asu.edu
Publikováno v:
Aequationes Mathematicae. Feb2024, Vol. 98 Issue 1, p303-332. 30p.
Biquandle brackets are a type of quantum enhancement of the biquandle counting invariant for oriented knots and links, defined by a set of skein relations with coefficients which are functions of biquandle colors at a crossing. In this paper we use b
Externí odkaz:
http://arxiv.org/abs/1909.00262
Autor:
Gügümcü, Neslihan, Lambropoulou, Sofia
Braidoids generalize the classical braids and form a counterpart theory to the theory of planar knotoids, just as the theory of braids does for the theory of knots. In this paper, we introduce basic notions of braidoids, a closure operation for braid
Externí odkaz:
http://arxiv.org/abs/1908.06053