Stable Strata of Geodesics in Outer Space
                    
                        
                            نویسندگان
                            
                            
                        
                        
                    
                    
                    چکیده
منابع مشابه
Local Structure of Brill-noether Strata in the Moduli Space of Flat Stable Bundles
We study the Brill-Noether stratification of the coarse moduli space of locally free stable and flat sheaves of a compact Kähler manifold, proving that these strata have quadratic algebraic singularities.
متن کاملStrata of rational space curves
The μ-invariant μ = (μ1, μ2, μ3) of a rational space curve gives important information about the curve. In this paper, we describe the structure of all parameterizations that have the same μ-type, what we call a μ-stratum, and as well the closure of strata. Many of our results are based on papers by the second author that appeared in the commutative algebra literature. We also present new resul...
متن کاملBounded Geodesics in Moduli Space
In the moduli space of quadratic differentials over complex structures on a surface, we construct a set of full Hausdorff dimension of points with bounded Teichmüller geodesic trajectories. The main tool is quantitative nondivergence of Teichmüller horocycles, due to Minsky and Weiss. This has an application to billiards in rational polygons.
متن کاملGeodesics in the Space of Kähler Metrics
We associate certain probability measures on R to geodesics in the space H L of postively curved metrics on a line bundle L, and to geodesics in the finite dimensional symmetric space of hermitian norms on H 0 (X, kL). We prove that the measures associated to the finite dimensional spaces converge weakly to the measures related to geodesics in H L as k goes to infinity. The convergence of secon...
متن کاملScaling solutions and geodesics in moduli space
In this paper we consider cosmological scaling solutions in general relativity coupled to scalar fields with a non-trivial moduli space metric. We discover that the scaling property of the cosmology is synonymous with the scalar fields tracing out a particular class of geodesics in moduli space-those which are constructed as integral curves of the gradient of the log of the potential. Given a g...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2018
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnx269