Involutions on 3-Manifolds and Self-dual, Binary Codes
Algebraic Topology
2007-07-12 v1
Abstract
We study a correspondence between orientation reversing involutions on compact 3-manifolds with only isolated fixed points and binary, self-dual 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.
Keywords
Cite
@article{arxiv.0707.1599,
title = {Involutions on 3-Manifolds and Self-dual, Binary Codes},
author = {Matthias Kreck and Volker Puppe},
journal= {arXiv preprint arXiv:0707.1599},
year = {2007}
}
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9 pages