Infinitely many exotic monotone Lagrangian tori in ℂℙ2

RF de Velloso Vianna - Journal of topology, 2016 - academic.oup.com
Infinitely many exotic monotone Lagrangian tori in ℂℙ2 | Journal of Topology | Oxford Academic
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Infinitely many monotone Lagrangian tori in del Pezzo surfaces

R Vianna - Selecta Mathematica, 2017 - Springer
We construct almost toric fibrations (ATFs) on all del Pezzo surfaces, endowed with a
monotone symplectic form. Except for CP^ 2\# CP^ 2 CP 2# CP 2¯, CP^ 2\# 2 CP^ 2 CP 2# 2 …

Minimality and mutation-equivalence of polygons

A Kasprzyk, B Nill, T Prince - Forum of mathematics, Sigma, 2017 - cambridge.org
We introduce a concept of minimality for Fano polygons. We show that, up to mutation, there
are only finitely many Fano polygons with given singularity content, and give an algorithm to …

Singular symplectic spaces and holomorphic membranes

S Galkin, G Mikhalkin - European Journal of Mathematics, 2022 - Springer
We set up a topological framework for degenerations of symplectic manifolds into singular
spaces paying a special attention to the behavior of Lagrangian manifolds and their …

Landau-Ginzburg models--old and new

L Katzarkov, V Przyjalkowski - arXiv preprint arXiv:1405.2953, 2014 - arxiv.org
In the last three years a new concept--the concept of wall crossing has emerged. The current
situation with wall crossing phenomena, after papers of Seiberg-Witten, Gaiotto-Moore …

Laurent polynomials in Mirror Symmetry: why and how?

A Kasprzyk, V Przyjalkowski - Proyecciones (Antofagasta), 2022 - SciELO Chile
We survey the approach to mirror symmetry via Laurent polynomials, outlining some of the
main conjectures, problems, and questions related to the subject. We discuss: how to …

Uniqueness of real Lagrangians up to cobordism

J Kim - International Mathematics Research Notices, 2021 - academic.oup.com
We prove that a real Lagrangian submanifold in a closed symplectic manifold is unique up to
cobordism. We then discuss the classification of real Lagrangians in and. In particular, we …

[PDF][PDF] An introduction to the Chekanov torus

J Brendel - Proceedings of the Gökova Geometry-Topology …, 2021 - gokovagt.org
This is an introductory article which arose from expanded notes for a set of talks given in the
GGTI Online Seminars organized by the Gökova Geometry and Topology Institute. We give a …

[PDF][PDF] LAGRANGIAN ISOTOPIES AND STABILIZED SYMPLECTIC EMBEDDINGS

R HIND - 2024 - nd.edu
We investigate relations between isotopies of Lagrangian tori and stabilized symplectic
embeddings. An analogue of a conjecture of McDuff about stabilized embeddings holds for …

Infinitely many monotone Lagrangian tori in del Pezzo surfaces

R Ferreira de Velloso Vianna - 2017 - repository.cam.ac.uk
We construct almost toric fibrations (ATFs) on all del Pezzo surfaces, endowed with a
monotone symplectic form. Except for CP 2# CP 2, CP 2# 2CP 2, we are able to get almost …