AbstractWe briefly review the origin in physics of attractor points on the moduli space of Calabi-Yau threefolds. We turn to their mathematical interpretation as special cases of Hodge loci. This leads to fascinating conjectures on the modularity of the Calabi-Yau threefolds at these points in terms of their periods and L-functions. For hypergeometric one-parameter families of Calabi-Yau threef...
AbstractIn analogous to flat bundle and holomorphic bundle, we introduce a special type of vector bundle over symplectic manifolds, which is called symplectically flat. The corresponding connection is called a symplectically flat connection and its curvature is proportional to the symplectic form. Considering that flat connections are the zero points of Yang-Mills functional, we construct two s...
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