4:00 pm Monday, August 30, 2010
TOPOLOGY SEMINAR: Knotting and linking in the Petersen family
by Danielle O'Donnol (Rice Math Dept.) in HB 427
An embedding f of a graph G is linked if there is a nontrivial link in f(G). An embedding f of a graph G is algebraically linked if there is a link with nonzero linking number in f(G). An embedding f of a graph G is knotted if there is a nontrivial knot in f(G). This talk will examine the relationship between knotting and linking in the Petersen family, the set of minor minimal intrinsically linked graphs. We present a linking condition on the spatial graph that results in a knotted embedding. Host Department: Rice University-Mathematics Submitted by cochran@rice.edu |