Families of relatively exact Lagrangians, free loop spaces and generalised homology

NW Porcelli - Selecta Mathematica, 2024 - Springer
We prove that (under appropriate orientation conditions, depending on R) a Hamiltonian
isotopy ψ 1 of a symplectic manifold (M, ω) fixing a relatively exact Lagrangian L setwise …

Refined disk potentials for immersed Lagrangian surfaces

GD Rizell, T Ekholm, D Tonkonog - arXiv preprint arXiv:1806.03722, 2018 - arxiv.org
We define a refined Gromov-Witten disk potential of self-transverse monotone immersed
Lagrangian surfaces in a symplectic 4-manifold as an element in a capped version of the …

Refined disk potentials for immersed Lagrangian surfaces

GD Rizell, T Ekholm, D Tonkonog - Journal of Differential …, 2022 - projecteuclid.org
We define a refined Gromov–Witten disk potential of monotone immersed Lagrangian
surfaces in a symplectic 4‑manifold that are self-transverse as an element in a capped …

Homological Lagrangian monodromy for some monotone tori

M Augustynowicz, J Smith, J Wornbard - arXiv preprint arXiv:2201.10507, 2022 - ems.press
Given a Lagrangian submanifold L in a symplectic manifold X, the homological Lagrangian
monodromy group HL describes how Hamiltonian diffeomorphisms of X preserving L …

Generalised cohomology and relatively exact Lagrangian submanifolds

N Porcelli - 2022 - repository.cam.ac.uk
In this thesis, we study the topology of relatively exact Lagrangian submanifolds. One of our
main goals is to study their generalised cohomology, extending known results about their …

Lagrangian perturbations of Lagrangian nodal spheres in the complex plane

D Genlik - 2018 - open.metu.edu.tr
Classification of monotone Lagrangian tori in C2 up to Hamiltonian isotopy and rescaling is
still an open problem and the only classes of such tori that are currently known are Clifford …

[引用][C] REFINED CURVE COUNTS FOR IMMERSED LAGRANGIAN SURFACES

GD RIZELL, T EKHOLM, D TONKONOG