Topological symmetry groups of graphs embedded in the 3-sphere

Harry Tamvakis

Brandeis University

March 17,
refreshments at 3:45pm


The topological symmetry group of a finite, connected graph embedded in S^3 is the subgroup of the automorphism group of the graph consisting of those automorphisms which can be induced by a homeomorphism of the ambient sphere. These groups first appeared in chemistry, as a measure of the symmetries of molecules. We initiate the mathematical study of topological symmetry groups, and compare with Babai and Mani's work on the automorphism groups of planar graphs. My talk will be accessible to a general audience, and presents joint work with Erica Flapan, Ramin Naimi, and James Pommersheim.

Speaker's Contact Info: harryt(at-sign)

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