On exotic monotone Lagrangian tori in $\mathbb{C}P^2$ and $S^2 \times S^2$

Details On exotic monotone Lagrangian tori in $\mathbb{C}P^2$ and $S^2 \times S^2$ On exotic monotone Lagrangian tori in $\mathbb{C}P^2$ and $S^2 \times S^2$

2011-03-17

arxiv.org/abs/1103.3487v1

Mathematics

Symplectic Geometry

22 pages, 1 figure

Scientific paper

In this note, we prove that two constructions of exotic monotone Lagrangian
tori, namely the one by Chekanov and Schlenk and the one obtained by the circle
bundle construction of Biran are Hamiltonian isotopic in $\mathbb{C}P^2$ and
$S^2 \times S^2$.

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