6 papers · 1 filter
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…
Lagrangian Klein bottles in
Nikolas Adaloglou, Jonathan David Evans
We use Luttinger surgery to show that there are no Lagrangian Klein bottles in in the -homology class of an -factor if the symplectic area of tha…
Symplectic cohomology of quasihomogeneous singularities
Nikolas Adaloglou, Federica Pasquotto, Aline Zanardini
We compute the symplectic cohomology of Milnor fibers of isolated quasihomogeneous cAn singularities . In addition, we use our computations to distinguish their links as contact ma…
Embeddings and disjunction of Lagrangian pinwheels via rational blow-ups
Nikolas Adaloglou
We use the symplectic rational blow-up to study some Lagrangian pinwheels in symplectic rational manifolds. In particular, we determine which symplectic forms in the threefold blow…