Boundary shape identification method for density based topology optimization
Topology optimization is an advanced design method that is used to generate lightweight and high-performance structures by determining the material distribution.
Yoshinori NISHIO, Yang LIU, Nagato ONO
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Ishibashi states, topological orders with boundaries and topological entanglement entropy. Part II. Cutting through the boundary [PDF]
Abstract We compute the entanglement entropy in a 2+1 dimensional topological order in the presence of gapped boundaries. Specifically, we consider entanglement cuts that cut through the boundaries. We argue that based on general considerations of the bulk- boundary correspondence, the “twisted characters” feature in the Renyi ...
Ce Shen, Jiaqi Lou, Ling-Yan Hung
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Degeneration of Heegaard genus, a survey [PDF]
We survey known (and unknown) results about the behavior of Heegaard genus of 3-manifolds constructed via various gluings. The constructions we consider are (1) gluing together two 3-manifolds with incompressible boundary, (2) gluing together the ...
Bachman, David, Derby-Talbot, Ryan
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Ishibashi states, topological orders with boundaries and topological entanglement entropy. Part I [PDF]
Abstract In this paper, we study gapped edges/interfaces in a 2+1 dimensional bosonic topological order and investigate how the topological entanglement entropy is sensitive to them. We present a detailed analysis of the Ishibashi states describing these edges/interfaces making use of the physics of anyon condensation in the ...
Jiaqi Lou, Ce Shen, Ling-Yan Hung
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Infernal and exceptional edge modes: non-Hermitian topology beyond the skin effect
The classification of point gap topology in all local non-Hermitian (NH) symmetry classes has been recently established. However, many entries in the resulting periodic table have only been discussed in a formal setting and still lack a physical ...
M Michael Denner +2 more
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A Novel Mesh Quality Improvement Method for Boundary Elements
In order to improve the boundary mesh quality while maintaining the essential characteristics of discrete surfaces, a new approach combining optimization-based smoothing and topology optimization is developed. The smoothing objective function is modified,
Hou-lin Liu +3 more
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Casimir Effect and Global Theory of Boundary Conditions
The consistency of quantum field theories defined on domains with external borders imposes very restrictive constraints on the type of boundary conditions that the fields can satisfy.
Asorey, M. +2 more
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Topology of the ambient boundary and the convergence of causal curves [PDF]
We discuss the topological nature of the boundary spacetime, the conformal infinity of the ambient cosmological metric. Due to the existence of a homothetic group, the bounding spacetime must be equipped not with the usual Euclidean metric topology but ...
Antoniadis, Ignatios, Cotsakis, Spiros
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Topological expansion and boundary conditions [PDF]
In this article, we compute the topological expansion of all possible mixed-traces in a hermitian two matrix model. In other words we give a recipe to compute the number of discrete surfaces of given genus, carrying an Ising model, and with all possible given boundary conditions.
Eynard, B., Orantin, N.
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A level-set-based topology optimisation of carpet cloaking devices with the boundary element method
We investigate a topology optimisation based on the level set method for a design problem of carpet cloaking devices. In topology optimisation of carpet cloaking devices, we need to calculate the electromagnetic response in a semi-infinite domain. We use
Kenta NAKAMOTO +3 more
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