Genus one open books with non-left-orderable fundamental group

DOI10.1090/S0002-9939-2014-11847-8zbMath1285.57001arXiv1109.4870MaRDI QIDQ5401380

Yu Li, Liam Watson

Publication date: 13 March 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4870

zbMATH Keywords

L-spaceleft orderable group

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Low-dimensional topology of special (e.g., branched) coverings (57M12) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Related Items

Alternating links and left-orderability, Invariant ordering of groups and topology, Left-orderability, branched covers and double twist knots, Taut foliations in branched cyclic covers and left-orderable groups, Integral left-orderable surgeries on genus one fibered knots

Cites Work

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• The Geometries of 3-Manifolds
• Left-Orderable Fundamental Groups and Dehn Surgery
• A spanning tree model for the Heegaard Floer homology of a branched double-cover
• Heegaard Floer homology and genus one, one-boundary component open books