Involutions on 3-Manifolds and Self-dual, Binary Codes
classification
🧮 math.AT
keywords
codesbinaryinvolutionsmanifoldsself-dualcodecompactcorrespondence
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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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