Differential Geometry
Math in Moscow, Spring 2013
Brief description of the course
Slides
Handouts

Handout 1: smooth manifolds, sheaves, partition of unity
(February 4).

Handout 2: Remedial topology
(February 11).

Handout 3: Hausdorff dimension and measure
(February 18).

Handout 4: Germs, direct limits and soft sheaves.
(February 25).

Handout 5: Vector fields and derivations.
(March 4).

Handout 6: Vector bundles and sheaves.
(March 11).

Handout 7: Fibrations and categories.
(April 1).

Handout 8: Tensor product and dual bundle.
(April 8).

Handout 9: SerreSwan theorem
(April 15).

Handout 10: de Rham algebra
(April 22).

Handout 11: Lie derivatives and Poincare lemma.
(April 29).
Tests, grading, miscellanea
You may contact me through verbit[]mccme.ru