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BEGIN:VEVENT
UID:739526168394b12a677d5a0b1400f139
CATEGORIES:Topology/Geometry Seminar
CREATED:20220220T195316
SUMMARY:Slope detection and toroidal 3-manifolds
LOCATION:zoom link: https://rutgers.zoom.us/j/98782700784?pwd=UFhEdTc4NlF6QlljZXlweE
 lCSUVDdz09
DESCRIPTION:<p style="margin: 0px; padding: 0px; border: 0px; font-weight: 400; font-si
 ze: 15px; line-height: inherit; font-family: 'Segoe UI', 'Segoe UI Web (Wes
 t European)', -apple-system, BlinkMacSystemFont, Roboto, 'Helvetica Neue', 
 sans-serif; vertical-align: baseline; color: #201f1e; letter-spacing: norma
 l; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; w
 hite-space: normal; widows: 2; word-spacing: 0px; background-color: #ffffff
 ;">The L-space Conjecture says that for a prime 3-manifold, properties NLS 
 (not being an L-space), LO (having left-orderable fundamental group), and C
 TF (admitting a co-orientable taut foliation), are equivalent. We investiga
 te these properties for toroidal 3-manifolds through the notion of slope de
 tection. We show that all toroidal integer homology spheres are LO, and tha
 t the n-fold cyclic branched covers of a prime satellite knot are NLS and L
 O, and are CTF if its companion is fibered. We also prove a partial extensi
 on of the latter result to links and confirm a folklore conjecture that pri
 me satellite links are never quasi-alternating.&nbsp;</p><p style="margin: 
 0px; padding: 0px; border: 0px; font-weight: 400; font-size: 15px; line-hei
 ght: inherit; font-family: 'Segoe UI', 'Segoe UI Web (West European)', -app
 le-system, BlinkMacSystemFont, Roboto, 'Helvetica Neue', sans-serif; vertic
 al-align: baseline; color: #201f1e; letter-spacing: normal; orphans: 2; tex
 t-align: start; text-indent: 0px; text-transform: none; white-space: normal
 ; widows: 2; word-spacing: 0px; background-color: #ffffff;"><br aria-hidden
 ="true" /></p><p style="margin: 0px; padding: 0px; border: 0px; font-weight
 : 400; font-size: 15px; line-height: inherit; font-family: 'Segoe UI', 'Seg
 oe UI Web (West European)', -apple-system, BlinkMacSystemFont, Roboto, 'Hel
 vetica Neue', sans-serif; vertical-align: baseline; color: #201f1e; letter-
 spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-tran
 sform: none; white-space: normal; widows: 2; word-spacing: 0px; background-
 color: #ffffff;">This is joint work with Steve Boyer and Cameron Gordon.</p
 >
CONTACT:Ying Hu (University of Nebraska Omaha)
DTSTAMP:20260828T184849
DTSTART;TZID=America/New_York:20220301T155000
DTEND;TZID=America/New_York:20220301T165000
SEQUENCE:0
TRANSP:OPAQUE
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