4 papers
The nearby Lagrangian conjecture for pinwheels
Nikolas Adaloglou, Gerard Bargalló i Gómez, Johannes Hauber
The Lagrangian skeleton of the rational homology ball , for coprime integers, is an immersed but not embedded Lagrangian, called a -pinwheel. We show that a…
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…
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…
Semi-Local Exotic Lagrangian Tori in Dimension Four
Joé Brendel, Johannes Hauber, Joel Schmitz
We study exotic Lagrangian tori in dimension four. In certain Stein domains (which naturally appear in almost toric fibrations) we find families of monotone Lagrang…