Adjoints, wrapping, and morphisms at infinity
Symplectic Geometry
2025-03-13 v4 Algebraic Geometry
Category Theory
K-Theory and Homology
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.
Cite
@article{arxiv.2309.17062,
title = {Adjoints, wrapping, and morphisms at infinity},
author = {Tatsuki Kuwagaki and Vivek Shende},
journal= {arXiv preprint arXiv:2309.17062},
year = {2025}
}
Comments
v4, minor revision, to appear in Comptes Rendus Math\'ematique