Corpus ID: 235899364

Cylindrical contact homology of links of simple singularities

  title={Cylindrical contact homology of links of simple singularities},
  author={Leo Digiosia},
We compute the cylindrical contact homology of the links of the simple singularities. These manifolds are contactomorphic to S3/G for finite subgroups G ⊂ SU(2). We perturb the degenerate contact form on S3/G with a Morse function, invariant under the corresponding H ⊂ SO(3) action on S2, to achieve nondegeneracy up to an action threshold. The cylindrical contact homology is recovered by taking a direct limit of the action filtered homology groups. The ranks of this homology are given in terms… Expand

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