The Chekanov torus in $S^2 \times S^2$ is not real

نویسندگان

چکیده

We prove that the count of Maslov index 2 $J$-holomorphic discs passing through a generic point real Lagrangian submanifold in closed spherically monotone symplectic manifold must be even. As corollary, we exhibit genuine phenomenon terms involutions, namely Chekanov torus $\mathbb{T}_{\text{Chek}}$ $S^2\times S^2$, which is not Hamiltonian isotopic to Clifford $\mathbb{T}_{\text{Clif}}$, can seen as fixed set smooth involution, but an antisymplectic involution.

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ژورنال

عنوان ژورنال: Journal of Symplectic Geometry

سال: 2021

ISSN: ['1527-5256', '1540-2347']

DOI: https://doi.org/10.4310/jsg.2021.v19.n1.a3