Tropical Lagrangians in toric del-Pezzo surfaces
type: Item
instance of: scholarly article
title: Tropical Lagrangians in toric del-Pezzo surfaces
zbMATH Open document ID: 1458.53089
author: Jeffrey Hicks
published in: Selecta Mathematica. New Series
publication date: 2021-02-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/2008.07197
Mathematics Subject Classification ID: 53D37
Mathematics Subject Classification ID: 14T20
zbMATH DE Number: 7309268
zbMATH Keywords: homological mirror symmetry
zbMATH Keywords: symplectomorphism
zbMATH Keywords: Fourier-Mukai transform
zbMATH Keywords: Lagrangian surgery
zbMATH Keywords: mutations of tropical Lagrangians
zbMATH Keywords: almost toric fibrations
zbMATH Keywords: tropical Lagrangian tori
MaRDI profile type: Publication
OpenAlex ID: W3119073040
arXiv ID: 2008.07197
cites work: Morse homology, tropical geometry, and homological mirror symmetry for toric varieties
cites work: Cox rings of extremal rational elliptic surfaces
cites work: Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves
cites work: Khovanov homology from Floer cohomology
cites work: Mirror symmetry and T-duality in the complement of an anticanonical divisor
cites work: Lagrangian cobordism and Fukaya categories
cites work: Cone-decompositions of Lagrangian cobordisms in Lefschetz fibrations
cites work: A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
cites work: Dimer models from mirror symmetry and quivering amoebæ
cites work: On dimer models and coamoebas
cites work: Q3074266
cites work: Q4709822
cites work: Properly ordered dimers, \(R\)-charges, and an efficient inverse algorithm
cites work: Monodromy of monomially admissible Fukaya-Seidel categories mirror to toric varieties
cites work: Tropical Lagrangian hypersurfaces are unobstructed
cites work: Homological Algebra of Mirror Symmetry
cites work: Dimers and amoebae
cites work: Q4550194
cites work: Almost toric symplectic four-manifolds
cites work: Enumerative tropical algebraic geometry in ℝ²
cites work: Examples of tropical-to-Lagrangian correspondence
cites work: Q4000367
cites work: Tropically constructed Lagrangians in mirror quintic threefolds
cites work: Dehn twist exact sequences through Lagrangian cobordism
cites work: The surgery of Lagrange submanifolds
cites work: The wall-crossing formula and Lagrangian mutations
cites work: Fukaya \(A_{\infty}\)-categories associated to Lefschetz fibrations. II \(\tfrac{1}{2}\)
cites work: Cluster varieties from Legendrian knots
cites work: Q4459923
cites work: Mirror symmetry is \(T\)-duality
cites work: Kasteleyn operators from mirror symmetry
cites work: Homological mirror symmetry for toric orbifolds of toric del Pezzo surfaces
cites work: On exotic Lagrangian tori in \(\mathbb{CP}^{2}\)
cites work: Infinitely many monotone Lagrangian tori in del Pezzo surfaces
DOI: 10.1007/S00029-020-00614-1
description: scientific article