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SUMMARY:Cristina Anghel (University of Leeds)
DTSTART:20240410T160000Z
DTEND:20240410T170000Z
DTSTAMP:20260423T021353Z
UID:TQFT/105
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/105/">A
  universal coloured Alexander invariant from configurations on ovals in th
 e disc</a>\nby Cristina Anghel (University of Leeds) as part of Topologica
 l Quantum Field Theory Club (IST\, Lisbon)\n\n\nAbstract\nThe coloured Jon
 es and Alexander polynomials are quantum invariants that come from represe
 ntation theory. There are important open problems in quantum topology rega
 rding their geometric information. Our goal is to describe these invariant
 s from a topological viewpoint\, as intersections between submanifolds in 
 configuration spaces. We show that the Nth coloured Jones and Alexander po
 lynomials of a knot can be read off from Lagrangian intersections in a fix
 ed configuration space. At the asymptotic level\, we geometrically constru
 ct a universal ADO invariant for links as a limit of invariants given by i
 ntersections in configuration spaces. The parallel question of providing a
 n invariant unifying the coloured Jones invariants is the subject of the u
 niversal Habiro invariant for knots. The universal ADO invariant that we c
 onstruct recovers all of the coloured Alexander invariants (in particular\
 , the Alexander polynomial in the first term).\n
LOCATION:https://researchseminars.org/talk/TQFT/105/
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