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Bulk-boundary thermodynamic equivalence: a topology viewpoint [PDF]
Setting the cosmological constant to be dynamical, we study the bulk and boundary thermodynamics of charged Anti-de Sitter black holes. We develop mass/energy formulas in terms of thermodynamic state functions for the extended thermodynamics, mixed ...
M. Zhang, Jie Jiang
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Topology of critical points in boundary matrix duals [PDF]
Computation of topological charges of the Schwarzschild and charged black holes in AdS in canonical and grand canonical ensembles allows for a classification of the phase transition points via the Bragg-Williams off-shell free energy.
Pavan Kumar Yerra+2 more
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Hermitian Bulk – Non-Hermitian Boundary Correspondence [PDF]
Non-Hermitian band theory distinguishes between line gaps and point gaps. While point gaps can give rise to intrinsic non-Hermitian band topology without Hermitian counterparts, line-gapped systems can always be adiabatically deformed to a Hermitian ...
F. Schindler+3 more
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AbstractHigh-level representations used in reasoning distinguish a special set of boundary locations, at which function values can change abruptly and across which adjacent regions may not be connected. Standard models of space and time, based on segmenting Rn, do not allow these possibilities because they have the wrong topological structure at ...
Margaret M. Fleck
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Chiral Dirac superconductors: Second-order and boundary-obstructed topology [PDF]
We analyze the topological properties of a chiral ${p}+i{p}$ superconductor for a two-dimensional metal/semimetal with four Dirac points. Such a system has been proposed to realize second-order topological superconductivity and host corner Majorana modes.
A. Tiwari, Ammar Jahin, Yuxuan Wang
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Topology of the future chronological boundary: universality for spacelike boundaries [PDF]
56 pages, AMS-TeX; 1 page of figure captions (TeX); 22 figures, EPS format; to be published in Quantum Class. Grav.; principal reason for replacement is to have the figures included (also, introduction is expanded slightly, and one example is simplified)
Steven G. Harris
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On the topology of the Newton boundary at infinity [PDF]
We are interested in a global version of Le-Ramanujam μ -constant theorem from the Newton polyhedron point of view. More precisely, we prove a stability theorem which says that the global monodromy fibration of a polynomial function with Newton non-degenerate is uniquely determined by its Newton boundary at infinity.
Tiến-Sơn Pḥam
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Non-Hermitian Boundary Modes and Topology. [PDF]
We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary codimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green's functions, we outline a generic ...
Dan S. Borgnia+2 more
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Topology Adaptive Water Boundary Extraction Based on a Modified Balloon Snake: Using GF-1 Satellite Images as an Example [PDF]
Topology adaptive water boundary extraction from satellite images using parametric snakes remains challenging in the domain of image segmentation. This paper proposed a modified balloon snake (MB-Snake) method based on the balloon snake (B-Snake) method,
Wenying Du, Nengcheng Chen, Dandan Liu
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A metrizable topology on the contracting boundary of a group [PDF]
The 'contracting boundary' of a proper geodesic metric space consists of equivalence classes of geodesic rays that behave like rays in a hyperbolic space.
Christopher H. Cashen, J. M. Mackay
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