Homology of the complex of not 2-divisible partitions
Victor A. Vassiliev
TL;DR
This paper calculates the rational homology of the complex formed by non-even partitions of a finite set, introducing a twisted Goresky-MacPherson approach for such homology computations.
Contribution
It presents the first calculation of the rational homology for the complex of non-even partitions, utilizing a novel twisted Goresky-MacPherson method.
Findings
Rational homology groups of the complex are explicitly computed.
A new twisted approach to homology calculation is proposed.
The method can be applied to similar combinatorial complexes.
Abstract
The rational homology group of the order complex of non-even partitions of a finite set is calculated. A twisted version of the Goresky-MacPherson approach to similar homology calculations is proposed.
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