There is no formal submission of the assignments but you must work on them.
One of the students will present a solution and we will discuss alternatives.

• Assignment 1: the cubic real line and the Mobius band.

• Assignment 2: gluing transition maps and the tangent bundle.

• Assignment 3: the fibres of a principal G-bundle and bump functions.

• Assignment 4: sections, the associated vector bundle and the frame bundle.

• Assignment 5: sections seen through trivializations.

• Assignment 6: the universal cover of a manifold.

• Assignment 7: rest.

• Assignment 8: complex structures on compact orientable surfaces.