Výsledky vyhledávání - "Park, Hyo Won"

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On the structure of braid groups on complexes

Publikováno v: Topology Appl., 226 (2017), 86-119

We consider the braid groups $\mathbf{B}_n(X)$ on finite simplicial complexes $X$, which are generalizations of those on both manifolds and graphs that have been studied already by many authors. We figure out the relationships between geometric decom

Externí odkaz: http://arxiv.org/abs/1508.03699

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Graph 4-braid groups and Massey products

Autor: Ko, Ki Hyoung, La, Joon Hyun, Park, Hyo Won

We first show that the braid group over a graph topologically containing no $\Theta$-shape subgraph has a presentation related only by commutators. Then using discrete Morse theory and triple Massey products, we prove that a graph topologically conta

Externí odkaz: http://arxiv.org/abs/1407.3723

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Characteristics of graph braid groups

Autor: Ko, Ki Hyoung, Park, Hyo Won

We give formulae for the first homology of the $n$-braid group and the pure 2-braid group over a finite graph in terms of graph theoretic invariants. As immediate consequences, a graph is planar if and only if the first homology of the $n$-braid grou

Externí odkaz: http://arxiv.org/abs/1101.2648

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Graph braid groups and right-angled Artin groups

Autor: Kim, Jee Hyoun, Ko, Ki Hyoung, Park, Hyo Won

Publikováno v: Trans. Amer. Math. Soc. (2010)

We give a necessary and sufficient condition for a graph to have a right-angled Artin group as its braid group for braid index $\ge 5$. In order to have the necessity part, graphs are organized into small classes so that one of homological or cohomol

Externí odkaz: http://arxiv.org/abs/0805.0082

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