Adjunction in 2-categories
Algebraic Geometry
2021-02-03 v2 Category Theory
Abstract
We give an overview of the parts of arXiv:2004.04279 that deal with 2-categories, up to and including adjunction, and explain how the Segal-type approach to 2-categories adopted there is related to the more standard approaches. As an application, we construct the derived Morita and the Fourier-Mukai 2-categories over a Noetherian ring, and show how to embed one into the other.
Keywords
Cite
@article{arxiv.2005.09789,
title = {Adjunction in 2-categories},
author = {D. Kaledin},
journal= {arXiv preprint arXiv:2005.09789},
year = {2021}
}
Comments
56 pages, LaTeX2e. Minor changes (typos, small mathematical corrections). Final version, to appear in Russian Math Surveys