Daniel 'Alvarez-Gavela

activity

20192026

collaborators

Showing math.SGShow all

6 papers · 1 filter

math.SG2026

Framed bordism of Lagrangian homotopy spheres via generating functions

Daniel Alvarez-Gavela

This note combines a result of Bökstedt 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 Álvarez-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 Álvarez-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…

math.SG2021

Caustics of Lagrangian homotopy spheres with stably trivial Gauss map

Daniel Alvarez-Gavela, David Darrow

For each positive integer $n$ , we give a geometric description of the stably trivial elements of the group $π_{n} U_{n} / O_{n}$ . In particular, we show that all such elements admit repres…

math.SG2019

A Legendrian Turaev torsion via generating families

Daniel Alvarez-Gavela, Kiyoshi Igusa

We introduce a Legendrian invariant built out of the Turaev torsion of generating families. This invariant is defined for a certain class of Legendrian submanifolds of 1-jet spaces…