On certain Lagrangian submanifolds of $S^2\times S^2$ and $\mathbb{C}\mathrm{P}^n$

Preprint, Other literature type English OPEN
Oakley, Joel; Usher, Michael;
  • Publisher: MSP
  • Journal: issn: 1472-2747
  • Related identifiers: doi: 10.2140/agt.2016.16.149
  • Subject: Mathematics - Symplectic Geometry | 53D12 | Hamiltonian displaceability | Lagrangian submanifolds
    arxiv: Mathematics::Differential Geometry | Mathematics::Symplectic Geometry

We consider various constructions of monotone Lagrangian submanifolds of $C P^n, S^2\times S^2$, and quadric hypersurfaces of $C P^n$. In $S^2\times S^2$ and $C P^2$ we show that several different known constructions of exotic monotone tori yield results that are Hamilt... View more
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