The topic is vector-fields and characteristic classes. The starting point is the classical Gauss-Bonnet theorem and the H. Hopf index theorem. After recalling these, curvature is used to define the Chern class of a complex analytic manifold. Then a recently proved formula relating Chern classes to zeroes of meromorphic vector-fields is given.
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics