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Instantons in G2 geometry【2012.12.20 10:30am,S703】
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 2012-12-14 

  Colloquia & Seminars 

  Speaker

  梁乃聪 教授,香港中文大学

  Title

   Instantons in G2 geometry

  Time

  2012.12.20 10:30am

  Venue

  S703

  Abstract

   M-theory on G2 manifolds is an analog of string theory on symplectic manifolds. The role of holomorphic curves with Lagrangian boundary conditions is replaced by associative submanifolds with coassociative boundary conditions. The work of Fukaya-Oh related holomorphic disks in cotangent bundles with Morse flow lines in Lagrangian submanifolds. Wang, Zhu and I generalized this to the G2 setting, namely thin associative submanifolds can be constructed from regular holomorphic curves in coassiciative submanifolds. This can be used to construct new examples of associative submanifolds.

  Affiliation

   

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