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UID:fb5044886339144a638313fb14f05abd
CATEGORIES:Topology/Geometry Seminar
CREATED:20240227T142959
SUMMARY:Knots in circle bundles
LOCATION:Hill 705
DESCRIPTION:<p>Seminar website:&nbsp;<span style="color: #000000;"><a href="https://sit
 es.google.com/view/rutgersgeometrytopologysem2324/home">https://sites.googl
 e.com/view/rutgersgeometrytopologysem2324/home</a>&nbsp;</span></p>
CONTACT:Andrew Yarmola (Yale University)
X-EXTRAINFO:Abstract:\nIn this talk we will be interested in knots in orientable circle
  bundles N over a genus g &gt; 1 surfaces. Examples of such knots arise nat
 urally when N is the unit tangent bundle of a surface and the knot is the s
 et of tangents to a curve on the surface. We call such knots canonical or L
 egendrian. In joint work with Tommaso Cremaschi, we show that knots in N ar
 e determined by their complements. In the setting of unit tangent bundles, 
 this demonstrates that canonical knots have homeomorphic complements if and
  only if their shadows differ by Reidemeister moves, (de)stabilizations, lo
 ops/cusps added by transvections, and mapping classes of the surface.
DTSTAMP:20260828T102324
DTSTART;TZID=America/New_York:20240305T160000
DTEND;TZID=America/New_York:20240305T170000
SEQUENCE:0
TRANSP:OPAQUE
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