Webb24 September 2014. Markus Reineke (Wuppertal). Topology and arithmetic of matrix invariants . We consider the action of a general linear group on tuples of matrices via simultaneous conjugation. Webb17 dec. 2014 · Definition: A hyperbolic surface of genus g is a topological surface of genus g along with a metric that is locally isometric to the hyperbolic plane. Equivalently, it has …
Simple geodesics on hyperbolic surfaces and the volume of the …
WebbIn this work, two classes of manifolds whose geodesic flows are integrable are defined, and their global structures are investigated. They are called Liouville manifolds and Kahler-Liouville manifolds respectively. In each case, the author finds several invariants with which they are partly classified. Webbtechniques on hyperbolic geometry and knot theory to date. The book was written to be interactive, with many examples and exercises. Some important results are left to guided exercises. The level is appropriate for graduate students with a basic background in algebraic topology, particularly fundamental groups and covering spaces. how to set ms word as default
Counting square-tiled surfaces with prescribed real and imaginary ...
Webb7 apr. 2024 · PDF We present a proof of a conjecture proposed by V. Delecroix, E. Goujard, P. Zograf, and A. Zorich, which describes the large genus asymptotic... Find, read and cite all the research you ... WebbWe prove that the homology classes of closed geodesics associated to subgroups of narrow class groups of real quadratic fields concentrate around the Eisenstein line. This … WebbGiven a measured geodesic lamination on a hyperbolic surface, grafting the surface along multiples of the lamination defines a path in Teichmüller space, called the grafting ray. We show that every grafting ray, after reparameterization, is a Teichmüller quasi-geodesic and stays in a bounded neighborhood of some Teichmüller geodesic. As part of our … notebook microsoft app