Adjoints, wrapping, and morphisms at infinity

2023/09/29 by Kuwagaki, Tatsuki, Shende, Vivek · 1 citation
#Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics #K-Theory and Homology (math.KT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2309.17062

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.

Cited by

• Cluster theory of topological Fukaya categories. Part II: Higher Teichmüller theory

Related

• Categorical formal punctured neighborhood of infinity, I
• On the abstract wrapped Floer setups
• Localization of extriangulated categories
• Rabinowitz Fukaya categories and the categorical formal punctured neighborhood of infinity
• Fukaya A-infinity structure near infinity and the categorical formal completion