4:00 pm Monday, April 4, 2011
Topology Seminar: Lattices, graphs, and Conway mutation
by 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. Host Department: Rice University-Mathematics Submitted by shelly@rice.edu |