13 citations · 22 across the 6 of their papers we have counts for
7 papers
Lagrangian Surplusection Phenomena
Georgios Dimitroglou Rizell, Jonathan David Evans
Suppose you have a family of Lagrangian submanifolds and an auxiliary Lagrangian . Suppose that intersects some of the more than the minimal number of times. Can…
Tropical methods for stable octic double planes
Jonathan David Evans, Angelica Simonetti, Giancarlo Urzúa
This paper has been written to illustrate the power of techniques from tropical geometry and mirror symmetry for studying the KSBA moduli space of surfaces on or near the Noether l…
KIAS Lectures on Symplectic Aspects of Degenerations
Jonathan David Evans
This is a series of three lectures I gave at the Korea Institute of Advanced Study in June 2019 at a workshop about "Algebraic and Symplectic Aspects of Degenerations of Complex Su…
Noncommutative crepant resolutions of singularities via Fukaya categories
Jonathan David Evans, Yanki Lekili
We compute the wrapped Fukaya category of a cylinder relative to a divisor of points, proving a mirror equivalence with the ca…
A Lagrangian Klein bottle you can't squeeze
Jonathan David Evans
Suppose you have a nonorientable Lagrangian surface L in a symplectic 4-manifold. How far can you deform the symplectic form before the smooth isotopy class of L contains no Lagran…
Generating the Fukaya categories of Hamiltonian G-manifolds
Jonathan David Evans, Yanki Lekili
Let be a compact Lie group and be a field of characteristic such that does not have -torsion. We show that a free Lagrangian orbit of a Ham…
Lagrangian spheres in Del Pezzo surfaces
Jonathan David Evans
Lagrangian spheres in the symplectic Del Pezzo surfaces arising as blow-ups of the complex projective plane in 4 or fewer points are classified up to Lagrangian isotopy. Unlike the…