Involutions on 3-manifolds and self-dual, binary codes

Matthias Kreck and Volker Puppe

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.

Homology, Homotopy and Applications, Vol. 10 (2008), No. 2, pp.139-148.

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