Johan Asplund

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math.SG2025

Persistence of unknottedness of clean Lagrangian intersections

Johan Asplund, Yin Li

Let $Q_{0}$ and $Q_{1}$ be two Lagrangian spheres in a $6$ -dimensional symplectic manifold. Assume that $Q_{0}$ and $Q_{1}$ intersect cleanly along a circle that is unknotted in both $Q_{0}$ …

math.SG2025

Homotopy rigidity of nearby Lagrangian cocores

Johan Asplund, Yash Deshmukh, Alex Pieloch

An exact Lagrangian submanifold $L \subset X^{2 n}$ in a Weinstein sector is called a nearby Lagrangian cocore if it avoids all Lagrangian cocores and is equal to a shifted Lagrangi…

math.SG2025

Spectral equivalence of nearby Lagrangians

Johan Asplund, Yash Deshmukh, Alex Pieloch

Let $R$ be a commutative ring spectrum. We construct the wrapped Donaldson--Fukaya category with coefficients in $R$ of any stably polarized Liouville sector. We show that any two…

math.SG2024

Singular Legendrian unknot links and relative Ginzburg algebras

Johan Asplund

We associate to a quiver and a subquiver $(Q, F)$ a stopped Weinstein manifold $X$ whose Legendrian attaching link is a singular Legendrian unknot link $Λ$ . We prove that t…