On cohomology of crystallographic groups with cyclic holonomy of split type

Autor:	Petrosyan, Nansen, Putrycz, Bartosz
Rok vydání:	2011
Předmět:	Mathematics - Algebraic Topology Mathematics - Group Theory 20J06 (Primary) 20H15 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1106.4216 Zobrazit plný text záznamu View this record from Arxiv