Nikolas Adaloglou

activity

20202025

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4 papers · 1 filter

math.SG2025

Markov staircases

Nikolas Adaloglou, Joé 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.SG2025

Pinwheels in symplectic rational and ruled surfaces and non-squeezing of rational homology balls

Nikolas Adaloglou, Johannes Hauber

We use almost toric fibrations and the symplectic rational blow-up to determine when certain Lagrangian pinwheels, which we call liminal, embed in symplectic rational and ruled sur…

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…