Riemann surfaces

Riemann surfaces

[′rē‚män ‚sər·fə·səz]
(mathematics)
Sheets or surfaces obtained by analyzing multiple-valued complex functions and the various choices of principal branches.
References in periodicals archive ?
Among the 11 papers are discussions of supersymmetric partition functions on Riemann surfaces, the mathematics and physics of mixed spin P-fields, quantum cohomology under birational maps and transitions, balanced embedding of degenerating Abelian varieties, and the modularity/automorphy of Calabi-Yau varieties of CM type.
other goals of this proposal are to form new connections between spaces of riemannian metrics of positive scalar curvature and infinite loop spaces, And to investigate the structure of tautological subrings of the cohomology of moduli spaces of manifolds, Especially in relation to the tautological rings of moduli spaces of riemann surfaces studied in algebraic geometry.
All open Riemann surfaces can be classified in the potential-theoretical sense into two types, namely hyperbolic ones and parabolic ones.
On a similar note, despite his different view of Riemann's conceptual approach, Weierstrass has offered an essential contribution to the representation of functions on Riemann surfaces (3) (Weyl, 2010).
A criterion for holomorphic families of Hideki MIYACHI Riemann surfaces to be virtually isomorphic Communicated by Shigefumi MORI, M.
Despite the statistics I stated above, Mirzakhani won for her work in Geometry-specifically, for the dynamics of Riemann surfaces.
She won for her work on "the dynamics and geometry of Riemann surfaces and their moduli spaces.
This volume collects lecture notes from nine lecture series delivered at the July 2011 Park City Mathematics Institute on mapping class groups and moduli spaces of Riemann surfaces.
On technical level, the construction of Riemann surfaces is based on the principle of analytic continuation.
Families of Riemann surfaces and Weil-Petersson geometry.
Wolpert (University of Maryland), and Shing-Tung Yau (Harvard University), "Surveys in Differential Geometry: Volume 14, Geometry of Riemann surfaces and their moduli spaces" is a collection of lectures delivered at the 2009 JDG conference.
We are interested in studying when Riemann surfaces equipped with their Poincare metric are Gromov hyperbolic (see e.