Work

Adjoints, wrapping, and morphisms at infinity

Year: 2025

Type: article

Abstract: For a localization of a smooth proper category along a subcategory preserved by the Serre functor, we show that morphisms in Efimov’s algebraizable categorical formal punctured neighborhood of infinity can be computed using the natural cone between right and left adjoints of the localization functor. In particular, this recovers the following result of Ganatra–Gao–Venkatesh: morphisms in categorical formal punctured neighborhoods of wrapped Fukaya categories are computed by Rabinowitz wrapping.

Source: Comptes Rendus Mathématique

DOI: 10.5802/crmath.717

Authors: Tatsuki Kuwagaki, Vivek Shende

Institution: University of Southern Denmark

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond