Presentations of graph braid groups
Copyright policy )Presentations of graph braid groups
Abstract. Let be a graph. The (unlabeled) configuration space of n points on is the space of n-element subsets of . The n-strand braid group of , denoted , is the fundamental group of . This paper applies the methods of discrete Morse theory to the spaces . We describe how to compute presentations for , where n is an arbitrary natural number and is an arbitrary finite connected graph. Particular attention is paid to the case , and many examples are given.
- Miami University United States
- University System of Ohio United States
- Binghamton University United States
Fundamental group, presentations, free differential calculus, Generators, relations, and presentations of groups, Topological methods in group theory, presentations, Discriminantal varieties and configuration spaces in algebraic topology, 20F65, 20F36, 57M15, 55R80, graph braid groups, Group Theory (math.GR), Braid groups; Artin groups, FOS: Mathematics, Relations of low-dimensional topology with graph theory, configuration spaces, discrete Morse theory, Geometric group theory, Mathematics - Group Theory, fundamental groups
Fundamental group, presentations, free differential calculus, Generators, relations, and presentations of groups, Topological methods in group theory, presentations, Discriminantal varieties and configuration spaces in algebraic topology, 20F65, 20F36, 57M15, 55R80, graph braid groups, Group Theory (math.GR), Braid groups; Artin groups, FOS: Mathematics, Relations of low-dimensional topology with graph theory, configuration spaces, discrete Morse theory, Geometric group theory, Mathematics - Group Theory, fundamental groups
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