Involutions on surfaces
classification
🧮 math.GT
math.AT
keywords
involutionssurfacesbackbeencenturyclassicalclassificationclassify
read the original abstract
We use equivariant surgery to classify all involutions on closed surfaces, up to isomorphism. Work on this problem is classical, dating back to the nineteenth century, but some questions seem to have been left unanswered. We give a modern treatment that leads to a complete classification.
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