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SUMMARY:Constructions of asymmetric L-space knots - Ken Baker (University 
 of Miami)
DTSTART:20170201T100000Z
DTEND:20170201T110000Z
UID:TALK70533@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Until July 2014\, all known L-spaces admitted an involution. &
 nbsp\;Then\, through a clever search of the SnapPy census\, Dunfield-Hoffm
 an-Licata found examples of asymmetric one-cusped hyperbolic manifolds wit
 h two lens space fillings and consequently many asymmetric L-space filling
 s. Yet since none of these lens space fillings were $S^3$\, so still stood
  the conjecture that L-space knots in $S^3$ are strongly invertible.<br><b
 r>In this talk we present&nbsp\;<br>(1) a `natural&#39\; realization and v
 ast generalization of the Dunfield-Hoffman-Licata examples (joint work wit
 h Hoffman and Licata) and<br>(2) the first construction of asymmetric L-sp
 ace knots in $S^3$ (joint work with Luecke).<br><br>Both of these construc
 tions produce asymmetric one-cusped hyperbolic manifolds with two fillings
  that are double branched covers of alternating links\, though the approac
 hes are different.
LOCATION:Seminar Room 1\, Newton Institute
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