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Genus one open books with non-left-orderable fundamental group
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Genus one open books with non-left-orderable fundamental group
classification
math.GT
keywords
fundamentalgenusgroupopenadmittinganswersbaldwinbook
read the original abstract
Let $Y$ be a closed, connected, orientable three-manifold admitting a genus one open book decomposition with one boundary component. We prove that if $Y$ is an L-space, then the fundamental group of $Y$ is not left-orderable. This answers a question posed by John Baldwin.
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