scholarly journals Homology Curve Complex

2012 ◽  
Vol 02 (02) ◽  
pp. 119-123
Author(s):  
Ningthoujam Jiban Singh ◽  
Himadri Kumar Mukerjee
Keyword(s):  
Curve Complex

scholarly journals Covers and the curve complex

2009 ◽  
Vol 13 (4) ◽  
pp. 2141-2162 ◽  
Author(s):  
Kasra Rafi ◽  
Saul Schleimer
Keyword(s):  
Curve Complex

scholarly journals Ranks of mapping tori via the curve complex

2019 ◽  
Vol 2019 (748) ◽  
pp. 153-172 ◽  
Author(s):  
Ian Biringer ◽  
Juan Souto
Keyword(s):  
Fundamental Group ◽  
Orientable Surface ◽  
Curve Complex ◽  
Mapping Torus ◽  
Closed Orientable Surface ◽  
Mapping Tori

Abstract We show that if ϕ is a homeomorphism of a closed, orientable surface of genus g, and ϕ has large translation distance in the curve complex, then the fundamental group of the mapping torus {M_{\phi}} has rank {2g+1} .

scholarly journals Limit sets of Teichmüller geodesics with minimal nonuniquely ergodic vertical foliation, II

2020 ◽  
Vol 2020 (758) ◽  
pp. 1-66
Author(s):  
Jeffrey Brock ◽  
Christopher Leininger ◽  
Babak Modami ◽  
Kasra Rafi
Keyword(s):  
Closed Surface ◽  
Maximal Dimension ◽  
Curve Complex ◽  
Limit Sets ◽  
Ergodic Measures ◽  
Finite Set ◽  
Geodesic Rays ◽  
Thurston Boundary ◽  
Ending Lamination ◽  
Gromov Boundary

AbstractGiven a sequence of curves on a surface, we provide conditions which ensure that (1) the sequence is an infinite quasi-geodesic in the curve complex, (2) the limit in the Gromov boundary is represented by a nonuniquely ergodic ending lamination, and (3) the sequence divides into a finite set of subsequences, each of which projectively converges to one of the ergodic measures on the ending lamination. The conditions are sufficiently robust, allowing us to construct sequences on a closed surface of genus g for which the space of measures has the maximal dimension {3g-3}, for example.We also study the limit sets in the Thurston boundary of Teichmüller geodesic rays defined by quadratic differentials whose vertical foliations are obtained from the constructions mentioned above. We prove that such examples exist for which the limit is a cycle in the 1-skeleton of the simplex of projective classes of measures visiting every vertex.

Radiation inactivation of multimeric enzymes: application to subunit interactions of adenylate cyclase

1986 ◽  
Vol 250 (1) ◽  
pp. C103-C114 ◽  
Author(s):  
A. S. Verkman ◽  
K. L. Skorecki ◽  
D. A. Ausiello
Keyword(s):  
Molecular Weight ◽  
Radiation Dose ◽  
Adenylate Cyclase ◽  
Enzyme Activation ◽  
Active Enzyme ◽  
Adenylate Cyclase System ◽  
Curve Complex ◽  
Active Components ◽  
Radiation Inactivation ◽  
Dose Curve

Radiation inactivation has been applied extensively to determine the molecular weight of soluble enzyme and receptor systems from the slope of a linear ln (activity) vs. dose curve. Complex nonlinear inactivation curves are predicted for multimeric enzyme systems, composed of distinct subunits in equilibrium with multimeric complexes. For the system A1 + A2----A1A2, with an active A1A2 complex (associative model), the ln (activity) vs. dose curve is linear for high dissociation constant, K. If a monomer, A1, has all the enzyme activity (dissociative model), the ln (activity) vs. dose curve has an activation hump at low radiation dose if the inactive subunit, A2, has a higher molecular weight than A1 and has upward concavity when A2 is smaller than A1. In general, a radiation inactivation model for a multistep mechanism for enzyme activation fulfills the characteristics of an associative or dissociative model if the reaction step forming active enzyme is an associative or dissociative reaction. Target theory gives the molecular weight of the active enzyme subunit or complex from the limiting slope of the ln (activity) vs. dose curve at high radiation dose. If energy transfer occurs among subunits in the multimer, the ln (activity) vs. dose curve is linear for a single active component and is concave upward for two or more active components. The use of radiation inactivation as a method to determine enzyme size and multimeric subunit assembly is discussed with specific application to the hormone-sensitive adenylate cyclase system. It is shown that the complex inactivation curves presented in the accompanying paper can be used select the best mechanism out of a series of seven proposed mechanisms for the activation of adenylate cyclase by hormone.

Connectedness of curve complex of surface

2014 ◽  
Vol 57 (4) ◽  
pp. 847-854
Author(s):  
DongQi Sun ◽  
FengChun Lei ◽  
FengLing Li
Keyword(s):  
Curve Complex

Step Responses of Liquid Lines With Frequency-Dependent Effects of Viscosity

1965 ◽  
Vol 87 (2) ◽  
pp. 504-510 ◽  
Author(s):  
F. T. Brown ◽  
S. E. Nelson
Keyword(s):  
Laminar Flow ◽  
Frequency Response ◽  
Characteristic Impedance ◽  
Step Response ◽  
Curve Complex ◽  
Principle Of Superposition ◽  
Analytic Expressions ◽  
Analytical Expressions ◽  
Theoretical Considerations ◽  
Step Responses

Universal step-response plots are given from theoretical considerations for rigid cylindrical lines containing a compressible Newtonian laminar-flow liquid. The pressure and flow step inputs and pressure and flow outputs for semi-infinite lines can, with the principle of superposition, be used to estimate the responses of a network of lines, terminations, and so on, for any transient input. Where possible, analytic expressions were found for these step responses, but in a certain region of each curve complex numerical routines based on the analytic frequency response were necessary. Analytical expressions are based on propagation and characteristic impedance operators published earlier by one of the authors.

scholarly journals GEOMETRY OF THE HOMOLOGY CURVE COMPLEX

2012 ◽  
Vol 04 (03) ◽  
pp. 335-359 ◽  
Author(s):  
INGRID IRMER
Keyword(s):  
Homotopy Class ◽  
Intersection Number ◽  
Simple Algorithm ◽  
Curve Complex ◽  
Oriented Surface ◽  
Immersed Surfaces ◽  
Minimal Genus ◽  
Closed Oriented Surface

Suppose S is a closed, oriented surface of genus at least two. This paper investigates the geometry of the homology multicurve complex, [Formula: see text], of S; a complex closely related to complexes studied by Bestvina–Bux–Margalit and Hatcher. A path in [Formula: see text] corresponds to a homotopy class of immersed surfaces in S × I. This observation is used to devise a simple algorithm for constructing quasi-geodesics connecting any two vertices in [Formula: see text], and for constructing minimal genus surfaces in S × I. It is proven that for g ≥ 3 the best possible bound on the distance between two vertices in [Formula: see text] depends linearly on their intersection number, in contrast to the logarithmic bound obtained in the complex of curves. For g ≥ 4 it is shown that [Formula: see text] is not δ-hyperbolic.

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