J. Evans

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math.SG2025

Markov staircases

Nikolas Adaloglou, JoÃ© Brendel, Jonny Evans +2

Rational homology ellipsoids are certain Liouville domains diffeomorphic to rational homology balls and having Lagrangian pin-wheels as their skeleta. From the point of view of alm…

math.SG2024

Lagrangian Klein bottles in $S^{2} \times S^{2}$

Nikolas Adaloglou, Jonathan David Evans

We use Luttinger surgery to show that there are no Lagrangian Klein bottles in $S^{2} \times S^{2}$ in the $Z_{2}$ -homology class of an $S^{2}$ -factor if the symplectic area of tha…

Markov staircases

Lagrangian Klein bottles in S2×S2

Lagrangian Klein bottles in $S^{2} \times S^{2}$