Geodesic
A coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams
Canadian journal of mathematics, Tome 76 (2024) no. 3, pp. 984-1004

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

DOI

For a closed, connected, and oriented 3-manifold with a non-singular flow, we construct its virtual knot diagram via a “flow-spine” of the manifold. Then, we introduce a coloring invariant of 3-manifolds through their virtual knot diagrams, and classify some 3-manifolds by using the invariant.
DOI : 10.4153/S0008414X23000299
Mots-clés : Coloring invariant, 3-manifold, flow-spine, virtual knot diagram 
Ishii, Ippei; Nakamura, Takuji; Saito, Toshio. A coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams. Canadian journal of mathematics, Tome 76 (2024) no. 3, pp. 984-1004. doi: 10.4153/S0008414X23000299
@article{10_4153_S0008414X23000299,
     author = {Ishii, Ippei and Nakamura, Takuji and Saito, Toshio},
     title = {A coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams},
     journal = {Canadian journal of mathematics},
     pages = {984--1004},
     year = {2024},
     volume = {76},
     number = {3},
     doi = {10.4153/S0008414X23000299},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000299/}
}
TY  - JOUR
AU  - Ishii, Ippei
AU  - Nakamura, Takuji
AU  - Saito, Toshio
TI  - A coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams
JO  - Canadian journal of mathematics
PY  - 2024
SP  - 984
EP  - 1004
VL  - 76
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000299/
DO  - 10.4153/S0008414X23000299
ID  - 10_4153_S0008414X23000299
ER  - 
%0 Journal Article
%A Ishii, Ippei
%A Nakamura, Takuji
%A Saito, Toshio
%T A coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams
%J Canadian journal of mathematics
%D 2024
%P 984-1004
%V 76
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000299/
%R 10.4153/S0008414X23000299
%F 10_4153_S0008414X23000299

Cité par Sources :