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4:00 pm Monday, April 4, 2011 Topology Seminar: Lattices, graphs, and Conway mutationby Joshua Greene (Columbia University) in HB 427- I will discuss the proof and consequences of the following result: if D and D' are reduced, alternating diagrams for a pair of links with branched double covers Y and Y', then D and D' are mutants iff Y and Y' are homeomorphic iff Y and Y' have isomorphic Heegaard Floer homology. The main input is a combinatorial result which characterizes the 2-isomorphism type of a graph in terms of the d-invariant of its lattice of integral flows.
Submitted by shelly@rice.edu |