Koszulity of splitting algebras associated with cell complexes

Details Koszulity of splitting algebras associated with cell complexes Koszulity of splitting algebras associated with cell complexes

2008-10-07

arxiv.org/abs/0810.1241v2

Mathematics

Rings and Algebras

Latex, 20 pages, one figure

Scientific paper

We associate to a good cell decomposition of a manifold M a quadratic algebra
and show that the Koszulity of the algebra implies a restriction on the Euler
characteristic of M. For a two-dimensional manifold M the algebra is Koszul if
and only if the Euler characteristic of M is two.

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