Geodesic
Singquandle shadows and singular knot invariants
Canadian mathematical bulletin, Tome 65 (2022) no. 3, pp. 770-787

Voir la notice de l'article provenant de la source Cambridge

DOI

We introduce shadow structures for singular knot theory. Precisely, we define two invariants of singular knots and links. First, we introduce a notion of action of a singquandle on a set to define a shadow counting invariant of singular links which generalize the classical shadow colorings of knots by quandles. We then define a shadow polynomial invariant for shadow structures. Lastly, we enhance the shadow counting invariant by combining both the shadow counting invariant and the shadow polynomial invariant. Explicit examples of computations are given.
DOI : 10.4153/S0008439521000837
Mots-clés : Quandle polynomial, singular knots and links, singquandle polynomial 
Ceniceros, Jose; Churchill, Indu R.; Elhamdadi, Mohamed. Singquandle shadows and singular knot invariants. Canadian mathematical bulletin, Tome 65 (2022) no. 3, pp. 770-787. doi: 10.4153/S0008439521000837
@article{10_4153_S0008439521000837,
     author = {Ceniceros, Jose and Churchill, Indu R. and Elhamdadi, Mohamed},
     title = {Singquandle shadows and singular knot invariants},
     journal = {Canadian mathematical bulletin},
     pages = {770--787},
     year = {2022},
     volume = {65},
     number = {3},
     doi = {10.4153/S0008439521000837},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000837/}
}
TY  - JOUR
AU  - Ceniceros, Jose
AU  - Churchill, Indu R.
AU  - Elhamdadi, Mohamed
TI  - Singquandle shadows and singular knot invariants
JO  - Canadian mathematical bulletin
PY  - 2022
SP  - 770
EP  - 787
VL  - 65
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000837/
DO  - 10.4153/S0008439521000837
ID  - 10_4153_S0008439521000837
ER  - 
%0 Journal Article
%A Ceniceros, Jose
%A Churchill, Indu R.
%A Elhamdadi, Mohamed
%T Singquandle shadows and singular knot invariants
%J Canadian mathematical bulletin
%D 2022
%P 770-787
%V 65
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000837/
%R 10.4153/S0008439521000837
%F 10_4153_S0008439521000837

Cité par Sources :