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

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2008
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Kreck, Matthias
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Erschienen in
Homology, Homotopy and Applications. International Press. 2008, 10(2), pp. 139-148. ISSN 1532-0073. eISSN 1532-0081. Available under: doi: 10.4310/HHA.2008.v10.n2.a7
Zusammenfassung

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.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
involution, 3-manifold, code, cohomology
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ISO 690KRECK, Matthias, Volker PUPPE, 2008. Involutions on 3-manifolds and self-dual, binary codes. In: Homology, Homotopy and Applications. International Press. 2008, 10(2), pp. 139-148. ISSN 1532-0073. eISSN 1532-0081. Available under: doi: 10.4310/HHA.2008.v10.n2.a7
BibTex
@article{Kreck2008Invol-58734,
  year={2008},
  doi={10.4310/HHA.2008.v10.n2.a7},
  title={Involutions on 3-manifolds and self-dual, binary codes},
  number={2},
  volume={10},
  issn={1532-0073},
  journal={Homology, Homotopy and Applications},
  pages={139--148},
  author={Kreck, Matthias and Puppe, Volker}
}
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