Global topology of hyperbolic components: Cantor circle case

2017 ◽  
Vol 115 (4) ◽  
pp. 897-923
Author(s):  
Xiaoguang Wang ◽  
Yongcheng Yin
Keyword(s):  
Global Topology ◽  
Circle Case

scholarly journals Topological mirror symmetry for rank two character varieties of surface groups

2021 ◽  
Author(s):  
Mirko Mauri
Keyword(s):  
Moduli Spaces ◽  
Mirror Symmetry ◽  
Surface Groups ◽  
Character Varieties ◽  
Hitchin System ◽  
Global Topology ◽  
Hodge Numbers

AbstractThe moduli spaces of flat $${\text{SL}}_2$$ SL 2 - and $${\text{PGL}}_2$$ PGL 2 -connections are known to be singular SYZ-mirror partners. We establish the equality of Hodge numbers of their intersection (stringy) cohomology. In rank two, this answers a question raised by Tamás Hausel in Remark 3.30 of “Global topology of the Hitchin system”.

The limit-circle case for a positive definite $J$ -fraction

1945 ◽  
Vol 12 (2) ◽  
pp. 255-273 ◽  
Author(s):  
Joseph J. Dennis ◽  
H. S. Wall
Keyword(s):  
Positive Definite ◽  
Limit Circle ◽  
Limit Circle Case ◽  
Circle Case

scholarly journals Structure and Stability of a Dimeric G-Quadruplex Formed by Cyclic Oligonucleotides

2010 ◽  
Vol 2010 ◽  
pp. 1-6 ◽  
Author(s):  
Joan Casals ◽  
Júlia Viladoms ◽  
Enrique Pedroso ◽  
Carlos González
Keyword(s):  
Telomeric Repeat ◽  
High Melting ◽  
Structure And Stability ◽  
Dimeric Structure ◽  
Nmr Data ◽  
High Melting Temperature ◽  
Sodium Nmr ◽  
G Quadruplex ◽  
Global Topology ◽  
Quadruplex Formation

We have studied the structure and stability of the cyclic dodecamer d<pGGGTTAGGGTTA>, containing two copies of the human telomeric repeat. In the presence of sodium, NMR data are consistent with a dimeric structure of the molecule in which two cycles self-associate forming a quadruplex with three guanine tetrads connected by edgewise loops. The two macrocycles are arranged in a parallel way, and the dimeric structure exhibits a high melting temperature. These results indicate that cyclization of the phosphodiester chain does not prevent quadruplex formation, although it affects the global topology of the quadruplex.

scholarly journals Second-Order Differential Operators in the Limit Circle Case

2021 ◽  
Author(s):  
Dmitri R. Yafaev ◽  
◽  
◽  
Keyword(s):  
Differential Equation ◽  
Differential Operators ◽  
Second Order ◽  
Spectral Measures ◽  
Limit Circle ◽  
Jacobi Operators ◽  
Limit Circle Case ◽  
Circle Case ◽  
Stieltjes Transforms

We consider symmetric second-order differential operators with real coefficients such that the corresponding differential equation is in the limit circle case at infinity. Our goal is to construct the theory of self-adjoint realizations of such operators by an analogy with the case of Jacobi operators. We introduce a new object, the quasiresolvent of the maximal operator, and use it to obtain a very explicit formula for the resolvents of all self-adjoint realizations. In particular, this yields a simple representation for the Cauchy-Stieltjes transforms of the spectral measures playing the role of the classical Nevanlinna formula in the theory of Jacobi operators.

scholarly journals Global topology of Weyl semimetals and Fermi arcs

2017 ◽  
Vol 50 (11) ◽  
pp. 11LT01 ◽  
Author(s):  
Varghese Mathai ◽  
Guo Chuan Thiang
Keyword(s):  
Fermi Arcs ◽  
Global Topology ◽  
Weyl Semimetals

scholarly journals Using cosmic strings to relate local geometry to spatial topology

2017 ◽  
Vol 26 (04) ◽  
pp. 1750033
Author(s):  
Christopher Levi Duston
Keyword(s):  
Structure Formation ◽  
Early Universe ◽  
Cosmic Strings ◽  
Local Geometry ◽  
Observational Constraints ◽  
Observable Universe ◽  
Global Properties ◽  
Global Topology ◽  
Spatial Topology ◽  
Spatial Section

In this paper, we will discuss how cosmic strings can be used to bridge the gap between the local geometry of our spacetime model and the global topology. The primary tool is the theory of foliations and surfaces, and together with observational constraints, we can isolate several possibilities for the topology of the spatial section of the observable universe. This implies that the discovery of cosmic strings would not just be significant for an understanding of structure formation in the early universe, but also for the global properties of the spacetime model.

scholarly journals A global topology map of the Saccharomyces cerevisiae membrane proteome

2006 ◽  
Vol 103 (30) ◽  
pp. 11142-11147 ◽  
Author(s):  
H. Kim ◽  
K. Melen ◽  
M. Osterberg ◽  
G. von Heijne
Keyword(s):  
Saccharomyces Cerevisiae ◽  
Membrane Proteome ◽  
Global Topology
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