Search Results - "Byung Hee An"

THE AUTOMORPHISM GROUPS OF ARTIN GROUPS OF EDGE-SEPARATED CLTTF GRAPHS by Byung Hee An, Youngjin Cho

“…This work is a continuation of Crisp's work on automorphism groups of CLTTF Artin groups, where the defining graph of a CLTTF Artin group is connected,…”
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A FAMILY OF REPRESENTATIONS OF BRAID GROUPS ON SURFACES by An, Byung Hee, Ko, Ki Hyoung

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Geometric Presentations of Braid Groups for Particles on a Graph by An, Byung Hee, Maciazek, Tomasz

“…We study geometric presentations of braid groups for particles that are constrained to move on a graph, i.e. a network consisting of nodes and edges. Our…”
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On folded cluster patterns of affine type by An, Byung Hee, Lee, Eunjeong

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On the second homology of planar graph braid groups by An, Byung Hee, Knudsen, Ben

“…We show that the second homology of the configuration spaces of a planar graph is generated under the operations of embedding, disjoint union, and edge…”
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The automorphism groups of Artin groups of edge-separated CLTTF graphs by 안병희, 조영진

“…This work is a continuation of Crisp's work on automorphism groups of CLTTF Artin groups, where the defining graph of a CLTTF Artin group is connected,…”
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A Chekanov–Eliashberg algebra for Legendrian graphs by An, Byung Hee, Bae, Youngjin

“…We define a differential graded algebra for Legendrian graphs and tangles in the standard contact Euclidean three space. This invariant is defined…”
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On the f-vectors of Gelfand–Cetlin polytopes by An, Byung Hee, Cho, Yunhyung, Kim, Jang Soo

“…A Gelfand–Cetlin polytope is a convex polytope obtained as an image of certain completely integrable system on a partial flag variety. In this paper, we give…”
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Augmentations and ruling polynomials for Legendrian graphs by An, Byung Hee, Bae, Youngjin, Su, Tao

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A criterion for the Legendrian simplicity of the connected sum by An, Byung Hee

“…In this paper, we provide the necessary and sufficient conditions for the connected sum of knots in S3 to be Legendrian simple…”
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On the structure of braid groups on complexes by An, Byung Hee, Park, Hyo Won

“…We consider the braid group Bn(X) on a finite simplicial complex X, which is a generalization of those on both manifolds and graphs that have been studied…”
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Subdivisional Spaces and Graph Braid Groups by An, Byung Hee, Drummond-Cole, Gabriel C., Knudsen, Ben

“…We study the problem of computing the homology of the configuration spaces of a finite cell complex X . We proceed by viewing X , together with its…”
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The automorphism groups of Artin groups of edge-separated CLTTF graphs by An, Byung Hee, Cho, Youngjin

“…We provide an explicit presentation of the automorphism group of an edge-separated CLTTF Artin group…”
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On folded cluster patterns of affine type by An, Byung Hee, Lee, Eunjeong

“…Pacific J. Math. 318 (2022) 401-431 A cluster algebra is a commutative algebra whose structure is decided by a skew-symmetrizable matrix or a quiver. When a…”
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Universal properties of anyon braiding on one-dimensional wire networks by Maciążek, Tomasz, An, Byung Hee

“…Tomasz Maci\k{a}\.zek and Byung Hee An, Phys. Rev. B 102, 201407(R) (2020) We demonstrate that anyons on wire networks have fundamentally different braiding…”
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On the second homology of planar graph braid groups by An, Byung Hee, Knudsen, Ben

“…We show that the second homology of the configuration spaces of a planar graph is generated under the operations of embedding, disjoint union, and edge…”
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Geometric presentations of braid groups for particles on a graph by An, Byung Hee, Maciazek, Tomasz

“…We study geometric presentations of braid groups for particles that are constrained to move on a graph, i.e. a network consisting of nodes and edges. Our…”
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Lagrangian fillings for Legendrian links of finite or affine Dynkin type by An, Byung Hee, Bae, Youngjin, Lee, Eunjeong

“…We prove that there are at least as many exact embedded Lagrangian fillings as seeds for Legendrian links of finite type $\mathsf{ADE}$ or affine type…”
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Lagrangian fillings for Legendrian links of affine type by An, Byung Hee, Bae, Youngjin, Lee, Eunjeong

“…We prove that there are at least as many exact embedded Lagrangian fillings as seeds for Legendrian links of affine type $\tilde{\mathsf{D}}…”
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A Chekanov-Eliashberg algebra for Legendrian graphs by An, Byung Hee, Bae, Youngjin

“…We define a differential graded algebra for Legendrian graphs and tangles in the standard contact Euclidean three space. This invariant is defined…”
Get full text