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math.SG2026★ 3 cited
Generating Functions in and the Hatcher-Waldhausen map
Thomas Kragh
In this paper, we construct a generating function quadratic at infinity for any exact Lagrangian in that equals outside a compact set. Such a Lagrang…
math.SG2025
Normal invariant of nearby Lagrangians via twisted derivative
Mohammed Abouzaid, Daniel Ãlvarez-Gavela, Sylvain Courte +1
Let and be closed, connected, smooth manifolds and let be an exact Lagrangian embedding. The induced map is known by earlier work to be a…
math.SG2024
Twisted generating functions and the nearby Lagrangian conjecture
Mohammed Abouzaid, Sylvain Courte, Stéphane Guillermou +1
We prove that, for closed exact embedded Lagrangian submanifolds of cotangent bundles, the homomorphism of homotopy groups induced by the stable Lagrangian Gauss map vanishes. In p…