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5 fficient robust dimensionality reduction and topological analysis via persistent homology as the main
9 propose a simple model, exclusively based on topological arguments, that allows one to predict the re
12 es as a class of cages whose composition and topological aspects compare to characteristics of edge-t
14 population, revealing diagonal blocks called Topological Associating Domains (TADs) that represent a
16 anonical stop site and that TOP1MT acts as a topological barrier and regulator for mtDNA transcriptio
19 likely this relationship between insulators, topological boundaries, and polytene interbands extends
20 tionship between the quantum Hall effect and topological bulk insulator breaks for specific field int
21 try-independent and integrated nonreciprocal topological cavities that couple stimulated emission fro
25 have discovered stunning similarities in the topological characteristics of real life networks (many
27 tion state spectrum analyzer, where both the topological charge and the state of polarization of an i
28 rn Mobius strips or twisted ribbons when the topological charge of one of the component beams was odd
29 is so because the CPGE directly measures the topological charge of Weyl points, and non-quantized cor
30 because they are intrinsically connected to topological charges and represent natural vector beam so
31 enerates six different q-plate channels with topological charges from -3 to +3 in the horizontal dire
39 ty indexes the change in the number of local topological connections available for future travel and
40 coupling of active, self-motile particles to topological constraints can give rise to novel non-equil
44 ransport properties of the surface states in topological crystalline insulators remains a challenge.
45 cal phenomena and applications predicted for topological crystalline insulators.Probing optical and t
46 arriers to propagation and the excitation of topological cycles, respectively, and can be predicted f
48 used an advanced mathematical approach named topological data analysis (TDA) to interrogate two pertu
50 w approaches to this challenge is "TDA," or "topological data analysis," one of the primary aims of w
53 onal mean-field vortex, can be detected as a topological defect of spatial coherence, but not of the
58 in disclinations expands our ability to use topological defects in liquid crystals as templates for
59 the Frank elasticity.Disclination lines are topological defects in molecular orientation widely foun
61 ic microfluidics, we study the cross-talk of topological defects in two different material fields-the
62 ered state, mediated by the proliferation of topological defects in two dimensions, governs seemingly
65 ion by facilitating the formation of special topological defects that consequently catalyse the growt
66 -crystalline pattern containing interspersed topological defects with winding numbers of +1/2 and -1/
67 matic phase riddled with [Formula: see text] topological defects, characteristic of a two-dimensional
75 etween open Fermi arcs on opposite surfaces, topological Dirac semimetals exhibit a new type of cyclo
79 rphase, are enriched on both sides of strong topological domain borders, and frequently occur at brea
80 ures resolve the genome at the resolution of topological domains, and reproduce simultaneously both s
82 strate the experimental observation of these topological edge modes in a 2D photonic lattice, where t
83 rresponding edge modes were coined anomalous topological edge modes, to highlight their intriguing or
86 gical insulators are bulk insulators with Z2 topological electronic order that gives rise to conducti
87 nsistent with cohesin binding chromatin in a topological embrace and with transcription mobilizing fu
88 nsion triggers the irreversible formation of topological entanglements of the fibers resulting in an
89 been observed as three-dimensional, gapless topological excitations in weakly correlated, inversion-
90 re excellent testbeds for studying vortices, topological excitations that also appear in superfluids,
94 We assess robustness and stability of the topological features and predict the presence of chiral
95 zation measured through modularity and other topological features could be used as a personalized var
96 cal techniques, we generate 3D maps of local topological features from 3D PRM(fSAD) classification ma
97 systems has been pointed out: in both cases, topological features of network structures influence how
98 tional methods, which utilize biological and topological features of proteins, have attracted more at
99 or, the trade-off model captured several key topological features of the real connectome as the gener
100 ant effects on disease prevalence of network topological features such as the variance of the degree
102 tical applications, and the development of a topological Fermi-liquid theory beyond the Landau Fermi-
105 n contrast to mariner transposition, where a topological filter suppresses single-ended reactions, th
108 ults suggest that BLG is a platform in which topological ground states with possible non-abelian exci
109 he typical pavement cell shapes emerge, with topological homeostasis maintained throughout growth and
112 y with the charge pumping effect reveals the topological-in-origin nonlinear conductivity, and it lea
113 hine learning methods to incorporate network topological information and enhance the connectivity amo
114 o develop an effective method to extract the topological information of a gene regulatory network fro
116 the surface of a 3D time-reversal-invariant topological insulator (TI) to produce paradigmatically d
117 esponsible for the wonderful properties of a topological insulator - material which is insulating in
118 obility is unexpected since bismuth is not a topological insulator and the surface is not suspended b
119 d superconductivity was studied in epitaxial topological insulator Bi2Se3 thin films grown on superco
120 of bulk Fe1+yTe and thin films grown on the topological insulator Bi2Te3 is canted out of the high-s
121 ectronic devices, we propose two-dimensional topological insulator field-effect transistors that swit
122 from a Rashba type topological trivial to a topological insulator phase at 2 GPa, which is caused by
123 We model transistors made of two-dimensional topological insulator ribbons accounting for scattering
125 between Weyl semimetal, Dirac semimetal and topological insulator states in a prototypical three-dim
126 ing that in spite of resisting localization, topological insulator surface electrons can be reshaped
127 ferromagnetic dopants into three-dimensional topological insulator thin films has recently led to the
129 ng at the edges resembling a 2+1 dimensional topological insulator without time-reversal symmetry.
130 present a detailed transport study of the 3D topological insulator-strained HgTe that strongly challe
134 effect, which has been realized in magnetic topological insulators (TIs), is the key to applications
137 eric waves share fundamental properties with topological insulators and that topology plays an unexpe
141 ngs show that the metallic surface states in topological insulators can exhibit both strong electron-
144 work provides a new framework on integrating topological insulators with antiferromagnetic materials
145 ctronic band theory sheds new light on known topological insulators, and can be used to predict many
146 is Perspective, we review recent progress in topological insulators, the quantum anomalous Hall effec
147 can induce unique quantum phenomena such as topological insulators, the Rashba effect, or p-wave sup
152 However, it is currently debated whether topological interface states can exist at all in PT-symm
153 ental understanding of atomistic pathways in topological interface transitions of chain molecules, re
154 ty of elastic networks is characterized by a topological invariant called the polarization; materials
155 3D complex geometry by one-dimensional (1D) topological invariants and retains important biological
158 um matter can be topologically classified by topological invariants, whose non-zero value guarantees
160 e individual monomers can undergo reversible topological inversion (flip flop) in the membrane until
161 pave ways for high-resolution structural and topological investigations of membrane-bound full-length
162 maging method enables the nanoscale study of topological magnetic structures in systems with sizes of
166 pology, and can be applied to the search for topological materials.Understanding the role of topology
171 al foundation for the experimental search of topological metals with strong correlations and open up
176 chanical metamaterials proposed to date, the topological modes are mixed with bulk soft modes, which
179 tates can host exotic quantum phases such as topological Mott state, unconventional superconductivity
180 urements as a diagnostic tool to distinguish topological MZMs from trivial in-gap states of a superco
182 t of bending strain engineering of spins via topological nanomechanical architecture affords a promis
184 re we show that disrupted networks contained topological network modules (TNMs) with shared propertie
187 rientational viscoelasticity.A skyrmion is a topological object originally introduced to model elemen
189 ng virtual knots, which are a wider class of topological objects that do not require a classical clos
190 mentary basis states, and then isolating the topological ones by removing the subset of atomic insula
195 hat the global network has a scale invariant topological organisation, which means there is a hierarc
196 ic similarity networks (MSNs) have a complex topological organization comprising modules and high-deg
197 mework for quantitatively characterizing the topological organization of anatomical structures, thus
202 tem can be an excellent candidate to achieve topological phase and to realize hybrid topological supe
203 body Majorana states and interaction-induced topological phase transitions and also identify trivial-
204 unique laboratory for the in-depth study of topological phase transitions and related phenomena that
208 roken phases in correlated electron systems, topological phases in systems with strong spin-orbit cou
210 pology leads to a rich variety of electronic topological phases, protecting states such as the topolo
215 ens an exciting route for the exploration of topological physics in time-modulated systems operating
219 n of features, which accurately explains the topological properties of individual nodes in the hetero
220 The thermal conductance thus reflects the topological properties of the fractional quantum Hall el
221 between the conductance quantization and the topological properties of the system has been investigat
223 charged excitations carried by strings, with topological properties that arise from embedding the str
224 y predicted to possess a variety of emergent topological properties, experimental verification of the
226 heir electronic and mechanical counterparts, topological-protected boundary steady states in non-equi
227 operation, this system provides an intrinsic topological protection against external perturbations.
228 points and demonstrate how light can enhance topological protection against lattice perturbations.
229 learly demonstrates the lack of the skyrmion topological protection in finite-sized magnetic systems.
233 non-Abelian anyons-which are key elements of topological quantum computing-fully, they need to be exc
236 arkable exception of the sample close to the topological quantum critical point, where the gate volta
237 quantum error correcting codes (a variant of topological quantum error correction), especially if the
239 romising route towards realizing circuits of topological quantum states that exhibit non-Abelian stat
241 lyamorphic transition are interpreted by the topological rearrangement of solute-centered clusters in
244 -based approach designed to navigate through topological relationships between genes (signaling- or m
249 ound 50,000 cells reveals a clear and unique topological signature, deviating from previously studied
250 solution for drug-target prediction based on topological similarity with a heterogeneous network, and
251 We then use this construction to localize topological soft modes in interior regions of the materi
256 under cross field configurations.Imaging of topological states of matter such as vortex configuratio
258 omponents for investigating highly entangled topological states, and our observations provide a bench
264 re and evolution of polar vortices and other topological structures in operando in functional materia
265 stricted subnuclear regions, suggesting that topological structures in the nucleus shape local gene a
267 Mammalian genomes are folded into unique topological structures that undergo precise spatiotempor
268 , how these proteins interact to compile GRN topological structures, and how these topologies lead to
270 pulsive interactions selectively favours two topological superconducting states: interpocket paired s
272 ces has been found to be necessary to access topological superconductivity that hosts Majorana modes
273 We consider these results in the context of topological superconductivity, and show that the observe
276 will open up possibilities for manipulating topological superconductors on the device-friendly platf
277 etal dichalcogenide (TMD)s as candidates for topological superconductors out of such momentum-space-s
278 na fermions can only exist on the surface of topological superconductors, Dirac and Weyl fermions can
279 s, the quantum anomalous Hall effect, chiral topological superconductors, helical topological superco
282 re induced by the spin-orbit coupling in the topological surface states that results in an efficient
285 acilitates mtDNA replication by removing DNA topological tensions produced during mtDNA transcription
286 homogeneous array of cells, and thus for the topological transformation of a radially symmetric disc
289 a 2D system undergoing N consequent Lifshitz topological transitions is the occurrence of spikes of e
290 (MS) analyses have been devised to study the topological transitions of Mhp1, the membrane protein fo
291 yosin-based forces will inhibit or drive the topological transitions that either refine or deform a t
293 ge signals the transition from a Rashba type topological trivial to a topological insulator phase at
295 igners between their ability to produce good topological vs. functional similarity scores, whereas SA
298 the direct experimental determination of the topological winding number of a magnetically ordered sys
299 we present a direct relationship between the topological winding number of the spin texture and the p
300 pology of spin order manifests itself in the topological winding number which plays a pivotal role fo
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