Additional exercises

  1. Why is the class of independent of choice of generic section?
  2. Show that for the line bundle the trivialising section 1 on the -disc on the left glues to

the section on the -disc on the right

Interpret in terms of zeros and poles!

  1. Suppose that is a codimension-r submanifold with normal bundle , and assume everything is compact and oriented. Let denote the fundamental class of . Show that its self-intersection is (the pushforward from of the Poincare' dual of) .