On representation varieties of 3-manifold groups
classification
🧮 math.GT
math.AGmath.GR
keywords
groupsrepresentationschemesgermscloseddimensionalessentiallyfundamental
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We prove universality theorems ("Murphy's Laws") for representation schemes of fundamental groups of closed 3-dimensional manifolds. We show that germs of SL(2,C)-representation schemes of such groups are essentially the same as germs of schemes of over rational numbers.
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