Mass-growth of triangulated auto-equivalences
arXiv:2109.13163
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.
v2: 20 pages, 1 figure, references added, examples extended to include pseudo-Anosov auto-equivalences in sense of Fan, Filip, Haiden, Katzarkov and Liu