t-structures on stable infinity-categories
Category Theory
2020-06-01 v1 Algebraic Topology
Abstract
The present work re-enacts the classical theory of t-structures reducing the classical definition given in *Faisceaux Pervers* to a rather primitive categorical gadget: suitable reflective factorization systems. This translation is only possible due to the virtues of the infinity-categorical setting. Once the basic theory of t-structure has been developed, a natural direction of research is to develop a comprehensive treatment of t-structure in the "torsio-centric" perspective: we apply the technology of factorization systems to the theory of Postnikov towers, to the proof of the abelianity of the heart of a t-structure, and to the theory of Bridgeland's stability conditions.
Cite
@article{arxiv.2005.14295,
title = {t-structures on stable infinity-categories},
author = {Fosco Loregian},
journal= {arXiv preprint arXiv:2005.14295},
year = {2020}
}
Comments
PhD thesis; 180 pages; 105 commutative diagrams