Mass-growth of triangulated auto-equivalences
Category Theory
2022-04-26 v2 Algebraic Geometry
Abstract
We relate the mass growth (with respect to a stability condition) of an exact auto-equivalence of a triangulated category to the dynamical behaviour of its action on the space of stability conditions. One consequence is that this action is free and proper whenever the mass growth is non-vanishing.
Keywords
Cite
@article{arxiv.2109.13163,
title = {Mass-growth of triangulated auto-equivalences},
author = {Jon Woolf},
journal= {arXiv preprint arXiv:2109.13163},
year = {2022}
}
Comments
v2: 20 pages, 1 figure, references added, examples extended to include pseudo-Anosov auto-equivalences in sense of Fan, Filip, Haiden, Katzarkov and Liu