1201.3266 (Atsushi Kanazawa et al.)

Trilinear forms and Chern classes of Calabi-Yau threefolds    [PDF]

Atsushi Kanazawa, P. M. H. Wilson

Let X be a Calabi--Yau threefold and $\mu$ the symmetric trilinear form on the second cohomology group $H^{2}(X,\Z)$ defined by the cup product. We investigate the interplay between the Chern classes and the trilinear form $\mu$, and demonstrate some numerical relations between them. When the cubic form $\mu(x,x,x)$ has a linear factor over $\R$, some properties of the linear form and the residual quadratic form are also obtained.

View original: http://arxiv.org/abs/1201.3266