Journal title
Journal of Differential Geometry
Last updated
2021-10-19T13:24:00.987+01:00
Abstract
We provide a complete description of the asymptotics of the gradient flow on the space of metrics on any semistable quiver representation. This involves a recursive construction of approximate solutions and the appearance of iterated logarithms and a limiting filtration of the representation. The filtration turns out to have an algebraic definition which makes sense in any finite length modular lattice. This is part of a larger project by the authors to study iterated logarithms in the asymptotics of gradient flows, both in finite and infinite dimensional settings.
Symplectic ID
1133173
Submitted to ORA
On
Publication type
Journal Article