Topological type of isoenergy surfaces of billiard books

2021 ◽  
Vol 212 (12) ◽  
Author(s):  
Viktoriya Viktorovna Vedyushkina
Keyword(s):  
Topological Type ◽  
Isoenergy Surfaces

Bifurcations of topological type at singular points of parametrized vector fields

1972 ◽  
Vol 6 (2) ◽  
pp. 169-170 ◽  
Author(s):  
A. N. Shoshitaishvili
Keyword(s):  
Vector Fields ◽  
Topological Type ◽  
Singular Points

EXHAUSTION OF THE CURVE GRAPH VIA RIGID EXPANSIONS

2018 ◽  
Vol 61 (1) ◽  
pp. 195-230 ◽  
Author(s):  
JESÚS HERNÁNDEZ HERNÁNDEZ
Keyword(s):  
Topological Type ◽  
Orientable Surface ◽  
Finite Topological Type ◽  
Curve Graph ◽  
Finite Set ◽  
Rigid Set

AbstractFor an orientable surfaceSof finite topological type with genusg≥ 3, we construct a finite set of curves whose union of iterated rigid expansions is the curve graph$\mathcal{C}$(S). The set constructed, and the method of rigid expansion, are closely related to Aramayona and Leiniger's finite rigid set in Aramayona and Leininger,J. Topology Anal.5(2) (2013), 183–203 and Aramayona and Leininger,Pac. J. Math.282(2) (2016), 257–283, and in fact a consequence of our proof is that Aramayona and Leininger's set also exhausts the curve graph via rigid expansions.

scholarly journals On manifolds with quadratic curvature decay

2009 ◽  
Vol 145 (2) ◽  
pp. 528-540 ◽  
Author(s):  
Nader Yeganefar
Keyword(s):  
Topological Type ◽  
Noncompact Manifold ◽  
Asymptotic Cones ◽  
Finite Topological Type ◽  
Curvature Decay

AbstractWe give conditions which imply that a complete noncompact manifold with quadratic curvature decay has finite topological type. In particular, we find links between the topology of a manifold with quadratic curvature decay and some properties of the asymptotic cones of such a manifold.

scholarly journals Towards Lax Formulation of Integrable Hierarchies of Topological Type

2014 ◽  
Vol 326 (3) ◽  
pp. 815-849
Author(s):  
G. Carlet ◽  
J. van de Leur ◽  
H. Posthuma ◽  
S. Shadrin
Keyword(s):  
Integrable Hierarchies ◽  
Topological Type

Impact of domain disorder on optoelectronic properties of layered semimetal MoTe2

2D Materials ◽  
2021 ◽  
Author(s):  
Maanwinder P. Singh ◽  
Jonas Kiemle ◽  
Ilkay Ozdemir ◽  
Philipp Zimmermann ◽  
Takashi Taniguchi ◽  
...  
Keyword(s):  
Van Der Waals ◽  
Topological Type ◽  
Optoelectronic Properties ◽  
Local Domain ◽  
Type Ii ◽  
Relaxation Dynamics ◽  
Weyl Semimetal ◽  
Ultrafast Relaxation ◽  
Low Dimensional ◽  
The Impact

Abstract We address the impact of crystal phase disorder on the generation of helicity-dependent photocurrents in layered MoTe2, which is one of the van der Waals materials to realize the topological type-II Weyl semimetal phase. Using scanning photocurrent microscopy, we spatially probe the phase transition and its hysteresis between the centrosymmetric, monoclinic 1T’ phase to the symmetry-broken, orthorhombic Td phase as a function of temperature. We find a highly disordered photocurrent response in the intermediate temperature regime. Moreover, we demonstrate that helicity-dependent and ultrafast photocurrents in MoTe2 arise most likely from a local breaking of the electronic symmetries. Our results highlight the prospects of local domain morphologies and ultrafast relaxation dynamics on the optoelectronic properties of low-dimensional van der Waals circuits.

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