Infinitely many exotic Lagrangian tori in higher projective spaces

Abstract

In de Velloso Vianna (J Topol 9(2):535-551, 2016), Vianna constructed infinitely many exotic Lagrangian tori in $$\mathbb {P}^2$$ P 2 . We lift these tori to higher dimensional projective spaces and show that they remain non-symplectomorphic. Our proof is elementary except for an application of the wall-crossing formula of Pascaleff and Tonkonog (Adv Math 361:106850, 2020).