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arXiv · 2605.31422

Weinstein manifolds as cotangent buildings

Daniel Álvarez-Gavela·Yakov Eliashberg·David Nadler
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Abstract

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 the Weinstein structure, cotangent buildings also enable a ``top down" analysis. Further, cotangent buildings include a precise control over the interaction of any subcollection of the various building blocks, each of which is modeled on the cotangent bundle of a manifold with corners. Our main result is that any Weinstein manifold is Weinstein homotopic to one admitting the structure of a cotangent building.

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Daniel Álvarez-Gavela, Yakov Eliashberg, David Nadler. 2026-05-29. Weinstein manifolds as cotangent buildings. https://arxiv.org/abs/2605.31422

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