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SUMMARY:A construction of Frobenius manifolds from stability conditions - 
 Jacopo Stoppa
DTSTART:20170308T141500Z
DTEND:20170308T151500Z
UID:TALK70772@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:A suitable quiver determines a 3CY category with a distinguish
 ed heart. We show how using the counting invariants of this category we ca
 n construct an infinite-dimensional Frobenius type structure on the space 
 of stability conditions supported on this heart\, with some\nconvergence p
 roperties. We prove that under (restrictive) conditions this can be pulled
  back to a genuine family of Frobenius manifold structures. Our main examp
 le is that of A_n quivers. In this case we can also understand what happen
 s in our construction when we mutate the quiver: we get a different branch
  of the same semisimple Frobenius\nmanifold. Joint with A. Barbieri and T.
  Sutherland.\n
LOCATION:CMS MR13
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