Tropically constructed Lagrangians in mirror quintic threefolds

We use tropical curves and toric degeneration techniques to construct closed embedded Lagrangian rational homology spheres in a lot of Calabi-Yau threefolds. The homology spheres are mirror dual to the holomorphic curves contributing to the Gromov-Witten (GW) invariants. In view of Joyce’s conjectur...

Full description

Bibliographic Details
Published in:	Forum of Mathematics, Sigma
Main Authors:	Cheuk Yu Mak, Helge Ruddat
Format:	Article
Language:	English
Published:	Cambridge University Press 2020-01-01
Subjects:	53D12 14J32 14T20 14T90 53D37 57R17
Online Access:	https://www.cambridge.org/core/product/identifier/S2050509420000547/type/journal_article

Similar Items

Relative quantum cohomology of the Chiang Lagrangian
by: Anna Hollands, et al.
Published: (2025-01-01)

Family Floer mirror space for local SYZ singularities
by: Hang Yuan
Published: (2024-01-01)

Smoothing toroidal crossing spaces
by: Simon Felten, et al.
Published: (2021-01-01)

K-stable smooth Fano threefolds of Picard rank two
by: Ivan Cheltsov, et al.
Published: (2024-01-01)

A mirror theorem for Gromov-Witten theory without convexity
by: Jun Wang
Published: (2025-01-01)

Smoothing, scattering and a conjecture of Fukaya
by: Kwokwai Chan, et al.
Published: (2025-01-01)

On genus one mirror symmetry in higher dimensions and the BCOV conjectures
by: Dennis Eriksson, et al.
Published: (2022-01-01)

Minimal log discrepancies of hypersurface mirrors
by: Louis Esser
Published: (2024-01-01)

HODGE IDEALS FOR $\mathbb{Q}$-DIVISORS, $V$-FILTRATION, AND MINIMAL EXPONENT
by: MIRCEA MUSTAŢĂ, et al.
Published: (2020-01-01)

Moduli spaces on the Kuznetsov component of Fano threefolds of index 2
by: Matteo Altavilla, et al.
Published: (2022-07-01)

Deformations of Calabi–Yau varieties with k-liminal singularities
by: Robert Friedman, et al.
Published: (2024-01-01)

Fukaya categories of surfaces, spherical objects and mapping class groups
by: Denis Auroux, et al.
Published: (2021-01-01)

Mirror symmetry for Nahm branes
by: Emilio Franco, et al.
Published: (2022-03-01)

On the irreducibility of Hessian loci of cubic hypersurfaces
by: Davide Bricalli, et al.
Published: (2025-01-01)

Weighted Hodge ideals of reduced divisors
by: Sebastián Olano
Published: (2023-01-01)

Automorphisms of $\mathbb{P}^1$-bundles over rational surfaces
by: Jérémy Blanc, et al.
Published: (2023-01-01)

Limits of nodal surfaces and applications
by: Ciro Ciliberto, et al.
Published: (2025-01-01)

Inversion of Adjunction for the minimal exponent
by: Qianyu Chen
Published: (2025-01-01)

A cone conjecture for log Calabi-Yau surfaces
by: Jennifer Li
Published: (2025-01-01)

The Ceresa class and tropical curves of hyperelliptic type
by: Daniel Corey, et al.
Published: (2024-01-01)

Nonemptiness of severi varieties on enriques surfaces
by: Ciro Ciliberto, et al.
Published: (2023-01-01)

Semistable degenerations of Calabi–Yau manifolds and mirror P=W conjectures
by: Sukjoo Lee
Published: (2024-01-01)

Strictly nef vector bundles and characterizations of ℙn
by: Liu Jie, et al.
Published: (2021-03-01)

Nef cones of fiber products and an application to the cone conjecture
by: Cécile Gachet, et al.
Published: (2024-01-01)

Bounding geometrically integral del Pezzo surfaces
by: Fabio Bernasconi, et al.
Published: (2024-01-01)

Big data, accounting information, and valuation
by: Doron Nissim
Published: (2022-11-01)

Virasoro constraints for stable pairs on toric threefolds
by: Miguel Moreira, et al.
Published: (2022-01-01)

Financial literacy among Chinese rural households and its impact on stock-market participation
by: Min Zhao, et al.
Published: (2024-09-01)

Quartic and Quintic Hypersurfaces with Dense Rational Points
by: Alex Massarenti
Published: (2023-01-01)

The maximal unipotent finite quotient, unusual torsion in Fano threefolds, and exceptional Enriques surfaces
by: Andrea Fanelli, et al.
Published: (2020-08-01)

Groups of symplectic involutions on symplectic varieties of Kummer type and their fixed loci
by: Sarah Frei, et al.
Published: (2023-01-01)

A BOUND ON EMBEDDING DIMENSIONS OF GEOMETRIC GENERIC FIBERS
by: ZACHARY MADDOCK
Published: (2016-01-01)

Financial literacy overconfidence, poor financial behaviour, and loan-taking propensity: The mediating role of financial fragility
by: Muhammad S. Tahir
Published: (2025-10-01)

Threefolds with big and nef anticanonical bundles II
by: Jahnke Priska, et al.
Published: (2011-06-01)

K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces
by: In-Kyun Kim, et al.
Published: (2023-01-01)

RC-positive metrics on rationally connected manifolds
by: Xiaokui Yang
Published: (2020-01-01)

On the MMP for rank one foliations on threefolds
by: Paolo Cascini, et al.
Published: (2025-01-01)

Pluricomplex Green's functions and Fano manifolds
by: Nicholas McCleerey, et al.
Published: (2019-06-01)

Open WDVV equations and Frobenius structures for toric Calabi-Yau 3-folds
by: Song Yu, et al.
Published: (2025-01-01)

Quasimaps to GIT fibre bundles and applications
by: Jeongseok Oh
Published: (2021-01-01)