scholarly journals Bosonization, cocycles, and the D1-D5 CFT on the covering surface

2016 ◽  
Vol 93 (2) ◽  
Author(s):  
Benjamin A. Burrington ◽  
Amanda W. Peet ◽  
Ida G. Zadeh
Keyword(s):  
Covering Surface

scholarly journals An Inequality of Meromorphic Functions and Its Application

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Zhaojun Wu ◽  
Yuxian Chen ◽  
Zuxing Xuan
Keyword(s):  
Meromorphic Function ◽  
Meromorphic Functions ◽  
Angular Domain ◽  
Covering Surface

By applying Ahlfors theory of covering surface, we establish a fundamental inequality of meromorphic function dealing with multiple values in an angular domain. As an application, we prove the existence of some new singular directions for a meromorphic functionf, namely a Bloch direction and a pseudo-T direction forf.

scholarly journals Indecomposable branched coverings over the projective plane by surfaces M with χ(M) ≤ 0

2018 ◽  
Vol 27 (05) ◽  
pp. 1850030
Author(s):  
Natalia A. Viana Bedoya ◽  
Daciberg Lima Gonçalves ◽  
Elena A. Kudryavtseva
Keyword(s):  
Projective Plane ◽  
Euler Characteristic ◽  
Covering Surface ◽  
Branched Coverings ◽  
Branched Covering

In this work, we study the decomposability property of branched coverings of degree [Formula: see text] odd, over the projective plane, where the covering surface has Euler characteristic [Formula: see text]. The latter condition is equivalent to say that the defect of the covering is greater than [Formula: see text]. We show that, given a datum [Formula: see text] with an even defect greater than [Formula: see text], it is realizable by an indecomposable branched covering over the projective plane. The case when [Formula: see text] is even is known.

A Covering Surface Conjecture of Brannan and Kirwan

1982 ◽  
Vol 14 (1) ◽  
pp. 39-42 ◽  
Author(s):  
A. Lyzzaik ◽  
D. Styer
Keyword(s):  
Covering Surface

scholarly journals A Distortion Theorem for Analytic Maps of Annuli

1965 ◽  
Vol 17 ◽  
pp. 185-198
Author(s):  
C. E. Castonguay ◽  
H. G. Helfenstein
Keyword(s):  
Differential Geometry ◽  
Extremal Property ◽  
Riemannian Metrics ◽  
Distortion Theorem ◽  
Point Of View ◽  
Covering Surface ◽  
Open Riemann Surface ◽  
Euclidean Metric ◽  
Analytic Maps ◽  
The Given

Every abstract open Riemann surface can be made "concrete" (in the terminology of (1)) by considering it as a covering surface (in general branched) of the complex plane by means of a suitable projection map p. Since this covering map is not unique, it seems natural to single out some such maps by an extremal property. The use of Riemannian metrics compatible with the conformai structure on the given surface for the study of $1 is well known ; from the point of view of differential geometry it suggests an investigation of the distortion caused by p between such a metric ds^ and the Euclidean metric of .

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