Euler flag enumeration of Whitney stratified spaces

Details Euler flag enumeration of Whitney stratified spaces Euler flag enumeration of Whitney stratified spaces

2012-01-16

arxiv.org/abs/1201.3377v1

Mathematics

Combinatorics

38 pages, 3 figures

Scientific paper

We show the cd-index exists for manifolds whose boundary has a Whitney stratification. The face poset of a stratification is a quasi-graded poset, that is, a poset endowed with an order-preserving rank function and a weighted zeta function. The notion of a poset being Eulerian and the existence of the cd-index extends in the quasi-graded poset arena. We also generalize the semi-suspension operation to that of embedding a complex in the boundary of a higher dimensional ball and study the shelling components of the simplex.

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