6 citations · 16 across the 5 of their papers we have counts for
Showing 2005 · math.GTShow all
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math.GT2005
Virtual Spatial Graphs
Thomas Fleming, Blake Mellor
Two natural generalizations of knot theory are the study of spatially embedded graphs, and Kauffman's theory of virtual knots. In this paper we combine these approaches to begin th…
math.GT2005
Intrinsic linking and knotting of graphs in arbitrary 3-manifolds
Erica Flapan, Hugh Howards, Don Lawrence +1
We prove that a graph is intrinsically linked in an arbitrary 3-manifold M if and only if it is intrinsically linked in S^3. Also, assuming the Poincare Conjecture, we prove that a…
math.GT2005
Weight Systems for Milnor Invariants
Blake Mellor
We use Polyak's skein relation to give a new proof that Milnor's string link homotopy invariants are finite type invariants, and to develop a recursive relation for their associate…