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SUMMARY:Matthew Harper (Michigan State University)
DTSTART:20261104T160000Z
DTEND:20261104T173000Z
DTSTAMP:20261115T001832Z
UID:tandg/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/43/">A
 lexander and Jones-type properties of the Links–Gould polynomial</a>\nby
  Matthew Harper (Michigan State University) as part of Topology and Geomet
 ry Seminar (Texas\, Kansas)\n\n\nAbstract\nThe Links-Gould (LG) polynomial
 s are two-variable link invariants arising from the quantum supergroup Uq(
 sl(2|1))\, exhibiting hybrid behavior between the Jones and Alexander poly
 nomials.  I will give an overview their constriction from representation t
 heory and the modified Reshetikhin-Turaev construction\, then survey some 
 recent results illustrating this theme.\n\nThe basic LG invariant provides
  a lower bound on the Seifert genus\, and this extends to its colored vers
 ions. We provide a skein theoretic argument to show that it admits a speci
 alization to the Akutsu-Deguchi-Ohstuki (ADO) invariant at a sixth root of
  unity. We discuss recent work that colored Links--Gould polynomials are n
 ot determined by colored Jones polynomials. Finally\, we discuss the alter
 nating coefficient property of LG on alternating knots\, and an analogue o
 f the Fox conjecture supported by computational evidence.\n\nThis is joint
  work\, in various combinations\, with Stavros Garoufalidis\, Rinat Kashae
 v\, Ben-Michael Kohli\, Jiebo Song\, Guillaume Tahar\, and Emmanuel Wagner
 .\n
LOCATION:https://researchseminars.org/talk/tandg/43/
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