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...
AbstractAnti-self-dual Yang-Mills (ASDYM) equations have played important roles in guantum field theory(QFT), geometry and integrable systems for more than 50 years. In particular, instantons, globalsolutions of them, have revealed nonperturbative aspects of QFT ['t Hoof....] and have given a newinsight into the study of the four-dimensional geometry iDonaldsonl. Furthermore, it is well knownas...