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SUMMARY:Quantum topology of Legendrian curves - Fabian Haiden\, Oxford
DTSTART:20191204T160000Z
DTEND:20191204T170000Z
UID:TALK127519@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Two constructions input a surface S (with some extra data) and
  output an associative algebra whose elements are represented by Legendria
 n curves: 1) the Legendrian skein algebra of S x R\, defined by imposing l
 inear relations between curves which differ locally 2) the Hall algebra of
  the Fukaya category of S. We construct a homomorphism from 1) to 2) which
  in examples is as close to isomorphism as it can be. The proof requires a
  precise understanding of the relation between formal deformations (Maurer
 -Cartan elements) and geometric deformations (surgery) for immersed curves
 . [See arxiv:1908.10358]
LOCATION:MR13
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