# [arXiv:1710.01655] Asymmetric L-space knots

Published: 4/10/2017
Source: MATH.UCDAVIS.EDU

### We construct the first examples of asymmetric L-space knots in $S^3$. More specifically, we exhibit a construction of hyperbolic knots in $S^3$ with both (i) a surgery that may be realized as a surgery on a strongly invertible link such that the result of the surgery is the double branched cover of an alternating link and (ii) trivial isometry group. In particular, this produces L-space knots in $Read more Related news • Published: 4/10/2017 We work with a generalization of knot theory, in which one diagram is reachable from another via a finite sequence of moves if a fixed condition, regarding the existence of certain morphisms in an ass ... Read more • Published: 3/10/2017 It’s not going to happen. https://wolfr.am/oWC2tH7z Read more • Published: 3/10/2017 To the UC Davis community, Sunday’s shooting rampage in Las Vegas has left me heartbroken as our country endures another incident of mass violence. My deepest sympathies go to all of the victims and t ... Read more Source: www.ucdavis.edu • Published: 3/10/2017 We study the character variety of representations of the fundamental group of a closed surface of genus$g\geq2$into the Lie group SO(n,n+1) using Higgs bundles. For each integer$0 Read more
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