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The cd-index of fans and posets

Published online by Cambridge University Press:  17 May 2006

Kalle Karu
Kalle Karu
Affiliation:
Mathematics Department, University of British Columbia, 1984 Mathematics Road, Vancouver, BC, Canada V6T 1Z2 karu@math.ubc.ca
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Abstract

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The number of flags in a complete fan, or more generally in an Eulerian poset, is encoded in the cd-index. We prove the non-negativity of the cd-index for complete fans, regular CW-spheres and Gorenstein* posets.

Keywords

cd-indexflag h-vectorGorenstein* posets14M25 (primary)06A07 (secondary)

Information

Type
Research Article
Information
Compositio Mathematica , Volume 142 , Issue 3 , May 2006 , pp. 701 - 718
Copyright
Foundation Compositio Mathematica 2006