**OFFICE: Ziskind building Room 143**

PHONE: +972-8-9343110

EMAIL: dmitry DOT novikov AT weizmann DOT ac DOT il

### Spring 2015: Analysis on manifolds II

Wednesday, 16:15 - 18:00 at Ziskind, Rm 261.

Main Textbook:

Foundations of Differentiable Manifolds by
F. Warner

Riemannian Geometry: A Modern Introduction by
Isaac Chavel

Differential forms in algebraic topology
by Raoul Bott, Loring W. Tu

Hodge theory and Complex algebraic geometry
by Claire Voisin

Exercise 1

Exercise 2

Exercise 3

### Fall 2014: Analysis on manifolds I

Sunday, 10:15 - 12:00 at Ziskind, Rm 261.

Syllabus

Differential
topology by
Guillemin and Pollack

Stable Mappings and Their Singularities by
Golubitsky and Guillemin

Using the
Borsuk-Ulam Theorem by
J. Matousek

Exercise 1 (Corrected on Nov.9)

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

The second part of this course is
Algebraic Topology by Avraham Aizenbud.