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9 papers · 1 filter
The Normalized Ricci Flow on Four-Manifolds and Exotic Smooth Structures
Masashi Ishida
In this article, we shall investigate the relationship between the existence or non-existence of non-singular solutions to the normalized Ricci flow and smooth structures on closed…
Total curvature and isotopy of graphs in
Robert Gulliver, Sumio Yamada
Knot theory is the study of isotopy classes of embeddings of the circle into a 3-manifold, specifically . The Fáry-Milnor Theorem says that any curve in of total c…
Local uniformization and free boundary regularity of minimal singular surfaces
Chikako Mese, Sumio Yamada
In continuing the study of harmonic mapping from 2-dimensional Riemannian simplicial complexes in order to construct minimal surfaces with singularity, we obtain an a-priori regula…
Weil-Petersson geometry of Teichmuller-Coxeter complex and its finite rank property
Sumio Yamada
We construct a Weil-Petersson geodesic completion of Teichmuller space through the formalism of Coxeter complex with the Teichmuller space as its non-linear non-homogeneous fundame…
Asymptotic Expansion of the One-Loop Approximation of the Chern-Simons Integral in an Abstract Wiener Space Setting
Itaru Mitoma, Seiki Nishikawa
In an abstract Wiener space setting, we constract a rigorous mathematical model of the one-loop approximation of the perturbative Chern-Simons integral, and derive its explicit asy…
Variational convergence over metric spaces
Kazuhiro Kuwae, Takashi Shioya
We introduce a natural definition of -convergence of maps, , in the case where the domain is a convergent sequence of measured metric space with respect to the measur…