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We use Klee’s Dehn-Sommerville relations and other results on face numbers of homology manifolds without boundary to (i) prove Kalai’s conjecture providing lower bounds on the f-vectors of an even-dim...
COMBINATORIAL HOPF ALGEBRAS AND GENERALIZED DEHN-SOMMERVILLE RELATIONS
Hopf algebra, character, generalized Dehn-Sommerville relations
2015/8/14
A combinatorial Hopf algebra is a graded connected Hopf algebra over
a field k equipped with a character (multiplicative linear functional) : H → k.
We show that the terminal object in the categor...