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- W4300106898 abstract "We disprove a conjecture stating that the integral cohomology of any crystallographic group Z^n rtimes Z_m is given by the cohomology of Z_m with coefficients in the cohomology of the group Z^n, by providing a complete list of counterexamples up to dimension 5. We also find a counterexample with odd order holonomy, m=9, in dimension 8 and finish the computations of the cohomology of 6-dimensional crystallographic groups arising as orbifold fundamental groups of certain Calabi-Yau toroidal orbifolds." @default.
- W4300106898 created "2022-10-03" @default.
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- W4300106898 date "2011-06-21" @default.
- W4300106898 modified "2023-09-25" @default.
- W4300106898 title "On cohomology of crystallographic groups with cyclic holonomy of split type" @default.
- W4300106898 doi "https://doi.org/10.48550/arxiv.1106.4216" @default.
- W4300106898 hasPublicationYear "2011" @default.
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