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Simple homotopy equivalence of nearby Lagrangians

3 Pith papers cite this work, alongside 12 external citations. Polarity classification is still indexing.

3 Pith papers citing it
12 external citations · external index

citation-role summary

contradiction 1

citation-polarity summary

fields

math.SG 3

years

2026 2 2020 1

polarities

refute 1

representative citing papers

The nearby Lagrangian conjecture for pinwheels

math.SG · 2026-05-21 · unverdicted · novelty 8.0 · 2 refs

Any two Lagrangian (p,q)-pinwheel embeddings in B_{p,q} are Hamiltonian isotopic, with Symp_c(B_{p,q}) generated by the pintwist τ_{p,q}.

Fukaya category with supports

math.SG · 2026-09-28 · conditional · novelty 7.0

A new A-infinity Fukaya category is assigned to each compact subset of a closed symplectic manifold, with restriction functors and a Mayer-Vietoris descent theorem for weakly involutive covers.

Special Lagrangian webbing

math.SG · 2020-10-23 · unverdicted · novelty 7.0

Constructs imaginary special Lagrangian cylinders near Maslov 0 or n intersections to obtain geodesics of positive Lagrangians and proves C^{1,1} regularity persistence under endpoint perturbations.

citing papers explorer

Showing 3 of 3 citing papers.

  • The nearby Lagrangian conjecture for pinwheels math.SG · 2026-05-21 · unverdicted · none · ref 4 · 2 links

    Any two Lagrangian (p,q)-pinwheel embeddings in B_{p,q} are Hamiltonian isotopic, with Symp_c(B_{p,q}) generated by the pintwist τ_{p,q}.

  • Fukaya category with supports math.SG · 2026-09-28 · conditional · none · ref 33

    A new A-infinity Fukaya category is assigned to each compact subset of a closed symplectic manifold, with restriction functors and a Mayer-Vietoris descent theorem for weakly involutive covers.

  • Special Lagrangian webbing math.SG · 2020-10-23 · unverdicted · none · ref 2

    Constructs imaginary special Lagrangian cylinders near Maslov 0 or n intersections to obtain geodesics of positive Lagrangians and proves C^{1,1} regularity persistence under endpoint perturbations.