Involutions on 3-Manifolds and Self-dual, Binary Codes

Details Involutions on 3-Manifolds and Self-dual, Binary Codes Involutions on 3-Manifolds and Self-dual, Binary Codes

2007-07-11

arxiv.org/abs/0707.1599v1

Mathematics

Algebraic Topology

9 pages

Scientific paper

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.

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