Homology, Homotopy and Applications
Volume 10 (2008)
Involutions on 3-manifolds and self-dual, binary codes
Pages: 139 – 148
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.
involution; 3-manifold; code; cohomology
2010 Mathematics Subject Classification
57M50, 57M60, 57R91, 94B05