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Thesis/Dissertation
Date
2022
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Mathematics
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Le_temple_0225E_14835.pdf
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http://dx.doi.org/10.34944/dspace/7759
Abstract
Let M be a Q-homology solid torus. In this thesis, we give a cohomological criterion for the existence of an interval of left orderable Dehn surgeries on M. We apply this criterion to prove that the two-bridge knot that corresponds to the continued fraction [1,1,2,2,2j] for j >= 1 and the (-3,3,2j+1)-pretzel knot admit an interval of left orderable Dehn surgeries. These two families of knots gives some positive evidence for a question of Xinghua Gao.
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