The 24-Cell and Calabi-Yau Threefolds with Hodge Numbers (1,1)

DA Cox; DA Cox; E Witten; M Kreuzer; P Candelas; P Candelas; P Candelas; P Candelas; R Davies; R Davies; V Braun; V Braun; V Braun; V Braun; V Braun; V Braun; Volker Braun; VV Batyrev; W Fulton; Y Hosotani; Y Hosotani

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The 24-Cell and Calabi-Yau Threefolds with Hodge Numbers (1,1)

Authors: DA Cox
DA Cox
E Witten
M Kreuzer
P Candelas
P Candelas
P Candelas
P Candelas
R Davies
R Davies
V Braun
V Braun
V Braun
V Braun
V Braun
V Braun
Volker Braun
VV Batyrev
W Fulton
Y Hosotani
Y Hosotani
Publication date: 1 January 2011
Publisher: 'Springer Science and Business Media LLC'
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Abstract

Calabi-Yau threefolds with h^11(X)=h^21(X)=1 are constructed as free quotients of a hypersurface in the ambient toric variety defined by the 24-cell. Their fundamental groups are SL(2,3), a semidirect product of Z_3 and Z_8, and Z_3 x Q_8.Comment: 22 pages, 3 figures, 3 table

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