Tootfinder

Detected Seifert surfaces and intervals of left-orderable surgeries
Yi Wang
https://arxiv.org/abs/2509.08127 https://arxiv.org/pdf/2509.08127

Detected Seifert surfaces and intervals of left-orderable surgeries
Motivated by the $L$-space conjecture, we prove left-orderability of certain Dehn fillings on integral homology solid tori with techniques first appearing in the work of Culler-Dunfield. First, we use the author's previous results to construct arcs of representations originating at ideal points detecting Seifert surfaces inside certain 3-manifolds. This, combined with the holonomy extension locus techniques of Gao, proves that Dehn fillings near 0 of such 3-manifolds are left-orderable. We then…

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