Involutions on 3-manifolds and self-dual, binary codes
Homology, homotopy, and applications, Tome 10 (2008) no. 2, pp. 139-148.

Voir la notice de l'article provenant de la source International Press of Boston

We study a correspondence between orientation-reversing involutions on compact 3-manifolds with only isolated fixed points and self-dual, binary codes. We show in particular that every such code can be obtained from such an involution. We further relate doubly even codes to Pin-structures and Spin-manifolds.
DOI : 10.4310/HHA.2008.v10.n2.a7
Classification : 57M50, 57M60, 57R91, 94B05
Keywords: involution, 3-manifold, code, cohomology
@article{HHA_2008_10_2_a7,
     author = {Matthias Kreck and Volker Puppe},
     title = {Involutions on 3-manifolds and self-dual, binary codes},
     journal = {Homology, homotopy, and applications},
     pages = {139--148},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2008},
     doi = {10.4310/HHA.2008.v10.n2.a7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n2.a7/}
}
TY  - JOUR
AU  - Matthias Kreck
AU  - Volker Puppe
TI  - Involutions on 3-manifolds and self-dual, binary codes
JO  - Homology, homotopy, and applications
PY  - 2008
SP  - 139
EP  - 148
VL  - 10
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n2.a7/
DO  - 10.4310/HHA.2008.v10.n2.a7
LA  - en
ID  - HHA_2008_10_2_a7
ER  - 
%0 Journal Article
%A Matthias Kreck
%A Volker Puppe
%T Involutions on 3-manifolds and self-dual, binary codes
%J Homology, homotopy, and applications
%D 2008
%P 139-148
%V 10
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n2.a7/
%R 10.4310/HHA.2008.v10.n2.a7
%G en
%F HHA_2008_10_2_a7
Matthias Kreck; Volker Puppe. Involutions on 3-manifolds and self-dual, binary codes. Homology, homotopy, and applications, Tome 10 (2008) no. 2, pp. 139-148. doi : 10.4310/HHA.2008.v10.n2.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n2.a7/

Cité par Sources :