On discrete Twist and Four-Flux in N=1 heterotic/F-theory compactifications
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We give an indirect argument for the matching $G^2=-π_* γ^2$ of four-flux and discrete twist in the duality between N=1 heterotic string and $F$-theory. This treats in detail the Euler number computation for the physically relevant case of a Calabi-Yau fourfold with singularities.
latex, 81 pages; minor changes, reference added
latex, 81 pages; minor changes, reference added