Johan Asplund: Homotopy rigidity of nearby Lagrangian cocores

Speaker
Johan Asplund, Stony Brook University

Abstract
An exact Lagrangian L in a Weinstein manifold X is called a nearby Lagrangian cocore if it avoids all Lagrangian cocores of X and is equal to a shifted Lagrangian cocore at infinity. I will explain joint work with Yash Deshmukh and Alex Pieloch, showing that for dim X ≥ 8, any nearby Lagrangian cocore is homotopically unlinked from the (n-1)-Weinstein handles of X. Our proof uses the wrapped Donaldson–Fukaya category with coefficients in MSpin.