In this paper, we present numerical computations of the w-invariants and the Fintushel-Stern invariants for plumbed homology 3-spheres and use the results to test a conjecture of Witten suggesting that the invariants carry equivalent information. While the two invariants give nearly the same information for some homology 3-spheres, we present numerous examples in which the information carried by the two invariants is quite different.
机构:
ECOLE NORMALE SUPER LYON,DEPT MATH & INFORMAT,CNRS,UA 746,F-69364 LYON 07,FRANCEECOLE NORMALE SUPER LYON,DEPT MATH & INFORMAT,CNRS,UA 746,F-69364 LYON 07,FRANCE