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SUMMARY:Distinguishing Clifford and Chekanov Lagrangian tori in $\\C^2$ an
 d  $\\CP^2$ via count of J-holomorphic discs. - Renato Vianna (Cambridge)
DTSTART:20141114T150000Z
DTEND:20141114T160000Z
UID:TALK56241@talks.cam.ac.uk
CONTACT:Joe Waldron
DESCRIPTION: In 1995\, Chekanov came up with the first example of monotone
  Lagrangian torus not Hamiltonian isotopic to the product torus $\\times_n
  S^1^ \\subset \\C^n^$\, also called Clifford torus. Both tori also has it
 s manifestation in $\\CP^n^$ (and other compactifications of $\\C^n^ $).\n
 \n One technique to distinguish between monotone Lagrangian tori is via th
 e count of (Maslov index 2) J-holomorphic discs. We will define the Cliffo
 rd and Chekanov tori in $\\C^2^ $ and $\\CP^2^ $\, and count the (Maslov i
 ndex 2) holomorphic discs they bound. \n\nWe will not assume any knowledge
  of symplectic geometry and provide all necessary definitions in the talk.
LOCATION:MR13
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