Asymptotic shifting numbers in triangulated categories
We study invariants, called shifting numbers, that measure the asymptotic amount by which
an autoequivalence of a triangulated category translates inside the category. The invariants …
an autoequivalence of a triangulated category translates inside the category. The invariants …
Counting special Lagrangian fibrations in twistor families of K3 surfaces
S Filip - arxiv preprint arxiv:1612.08684, 2016 - arxiv.org
The number of closed billiard trajectories in a rational-angled polygon grows quadratically in
the length. This paper gives an analogue on K3 surfaces, by considering special Lagrangian …
the length. This paper gives an analogue on K3 surfaces, by considering special Lagrangian …
Gap between Lyapunov exponents for Hitchin representations
M Costantini, F Martin-Baillon - … Mathematics Research Notices, 2024 - academic.oup.com
We study Lyapunov exponents for flat bundles over hyperbolic curves defined via parallel
transport over the geodesic flow. We consider them as invariants on the space of Hitchin …
transport over the geodesic flow. We consider them as invariants on the space of Hitchin …
[PDF][PDF] An introduction to K3 surfaces and their dynamics
S Filip - Teichmüller theory and dynamics, 2019 - math.uchicago.edu
AN INTRODUCTION TO K3 SURFACES AND THEIR DYNAMICS Contents 1. Introduction 2
2. Basic structures 6 2.1. Classification of surfac Page 1 AN INTRODUCTION TO K3 …
2. Basic structures 6 2.1. Classification of surfac Page 1 AN INTRODUCTION TO K3 …
Lyapunov exponents, holomorphic flat bundles and de Rham moduli space
M Costantini - Israel Journal of Mathematics, 2020 - Springer
We consider Lyapunov exponents for flat bundles over hyperbolic curves defined via
parallel transport over the geodesic flow. We refine a lower bound obtained by Eskin …
parallel transport over the geodesic flow. We refine a lower bound obtained by Eskin …
Lyapunov Exponents of variations of Hodge structures with monodromy
G Silva Jr - arxiv preprint arxiv:2104.12936, 2021 - arxiv.org
arxiv:2104.12936v1 [math.AG] 27 Apr 2021 Page 1 arxiv:2104.12936v1 [math.AG] 27 Apr 2021
LYAPUNOV EXPONENTS OF VARIATIONS OF HODGE STRUCTURES WITH G2 …
LYAPUNOV EXPONENTS OF VARIATIONS OF HODGE STRUCTURES WITH G2 …
Geometry and dynamics on Riemann and K3 surfaces
S Filip - European Mathematical Society Magazine, 2021 - ems.press
Surfaces are some of the simplest yet geometrically rich manifolds. Geometric structures on
surfaces illuminate their topology and are useful for studying dynamical systems on …
surfaces illuminate their topology and are useful for studying dynamical systems on …