Daniel 'Alvarez-Gavela

collaborators

4 papers

math.SG2026

Framed bordism of Lagrangian homotopy spheres via generating functions

Daniel Alvarez-Gavela

This note combines a result of BÃ¶kstedt and Waldhausen concerning the so-called derivative map on tubes with the existence theorem for generating functions of tube type for nearby…

math.SG2026

Weinstein manifolds as cotangent buildings

Daniel Ãlvarez-Gavela, Yakov Eliashberg, David Nadler

We introduce the framework of cotangent buildings to complement and refine that of Weinstein handlebodies. While Weinstein handlebodies are suitable for a ``bottom-up" analysis of…

math.SG2025

Normal invariant of nearby Lagrangians via twisted derivative

Mohammed Abouzaid, Daniel Ãlvarez-Gavela, Sylvain Courte +1

Let $L$ and $M$ be closed, connected, smooth manifolds and let $L ↪ T^{*} M$ be an exact Lagrangian embedding. The induced map $L \to M$ is known by earlier work to be a…

math.SG2025

On arborealization, Maslov data, and lack thereof

Daniel Alvarez-Gavela, Tim Large, Abigail Ward

For a Weinstein manifold, we compare and contrast the properties of admitting an arboreal skeleton and admitting Maslov data. Both properties are implied by the existence of a pola…