紀要論文

紀要論文

text

Osaka Journal of Mathematics. 2023, 60(1), p. 77-103

INFINITE FAMILIES OF NON-LEFT-ORDERABLE L-SPACES

Osaka University and Osaka Metropolitan University, Departments of Mathematics

英語

text

2023-01

For each connected alternating tangle, we provide an infinite family of non-left-orderable Lspaces. This gives further support for Conjecture [3] of Boyer, Gordon, and Watson that is a rational homology 3-sphere is an L-space if and only if it is non-left-orderable. These 3-manifolds are obtained as Dehn fillings of the double branched covering of any alternating encircled tangle. We give a presentation of these non-left-orderable L-spaces as double branched coverings of S³, branched over some specified links that turn out to be hyperbolic. We show that the obtained families include many non-Seifert fibered spaces. We also show that these families include many Seifert fibered spaces and give a surgery description for some of them. In the process we give another way to prove that the torus knots T(2, 2m+ 1) are L-space-knots as has already been shown by Ozsváth and Szabó in [24].

10.18910/89994

89994

INFINITE FAMILIES OF NON-LEFT-ORDERABLE L-SPACES

Osaka University and Osaka Metropolitan University, Departments of Mathematics

英語

2023-01

Osaka Journal of Mathematics

60

1

77

103

https://hdl.handle.net/11094/89994

10.18910/89994

https://doi.org/10.18910/89994