  We define the Atiyah class for global matrix factorizations and use it to
give a formula for the categorical Chern character and the boundary-bulk map
for matrix factorizations, generalizing the formula in the local case obtained
in arXiv:1002.2116. Our approach is based on developing the Lie algebra
analogies observed by Kapranov alg-geom/9704009 and Markarian math/0610553.
