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| 2013 Korea Toric Topology Winter Worksohp |
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Title |
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Date |
2013-01-03 |
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Seoguipo KAL Hotel |
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 Abstract : Recently, Choi and Park introduced an invariant of a nite simple graph, called signed a-number, arising from computing certain topological invariants of some speci c kinds of real toric manifolds. They also found the signed a-numbers of path graphs, cycle graphs, complete graphs, and star graphs. In this talk, we introduce a signed a-polynomial which is a generalization of the signed a-number. The signed a-polynomial of a nite simple graph G is related to the Poincar polynomial of real toric manifolds associated to the graph associahedron PB(G) which is the nestohedron as the Minkowski sum of simplices obtained from onnected induced subgraphs of G. We give the signed a-polynomials of not only path graphs, cycle graphs, complete graphs, and star graphs, but also complete bipartite graphs and complete multipartite graphs. This is a joint work with Seunghyun Seo. |
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