More than once we have heard that the Charney–Davis Conjecture makes sense only for odd-dimensional spheres. This is to point out that in fact it is also a statement about even-dimensional spheres.
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The research of first author was partially supported by Polish N201 012 32/0718 grant.
The research of second author was partially supported by the NSF grant DMS-0706259.
T. Januszkiewicz is on leave from Mathematical Institute, Wrocław University.
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Gal, Ś.R., Januszkiewicz, T. Even- vs. Odd-dimensional Charney–Davis Conjecture. Discrete Comput Geom 44, 802–804 (2010). https://doi.org/10.1007/s00454-009-9210-2
- Flag complex
- Charney–Davis conjecture
Mathematics Subject Classification (2000)