Face Enumeration - from Spheres to Manifolds

  title={Face Enumeration - from Spheres to Manifolds},
  author={Ed Swartz},
We prove a number of new restrictions on the enumerative properties of homology manifolds and semi-Eulerian complexes and posets. These include a determination of the affine span of the fine h-vector of balanced semi-Eulerian complexes, the flag h-vector of semi-Eulerian posets, and the toric h-vector of semiEulerian posets. The lower bounds on simplicial homology manifolds, when combined with higher dimensional analogues of Walkup’s 3-dimensional constructions [44], allow us to give a complete… CONTINUE READING
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