Trilinear forms and Chern classes of Calabi-Yau threefolds
Abstract
Let X be a Calabi-Yau threefold and μ the symmetric trilinear form on the second cohomology group H2(X,) defined by the cup product. We investigate the interplay between the Chern classes c2(X), c3(X) and the trilinear form μ, and demonstrate some numerical relations between them. When the cubic form μ(x,x,x) has a linear factor over , some properties of the linear form and the residual quadratic form are also obtained.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.