Dmitri Pavlov's notes of Math 276 (Topics in Topology): Atiyah‑Singer Index Theorem

Instructor:

Peter Teichner

Lectures:

Tuesday and Thursday, 12:30–2 in 51 Evans Hall

Lecture notes by Dmitri Pavlov:

TeX, DVI, PDF.

Please report all typos in the lecture notes to me by email.

Homework 1: TeX, DVI, PDF.

Homework 2: TeX, DVI, PDF.

Homework 3: TeX, DVI, PDF.

Homework 4: TeX, DVI, PDF.

Miniconference: Monday, May 16, 10–1 and 2–6, 740 Evans Hall. Dinner at 7.

References:

• Michael Atiyah, Isadore Singer: The index of elliptic operators: I
• Michael Atiyah, Graeme Segal: The index of elliptic operators: II
• Michael Atiyah, Isadore Singer: The index of elliptic operators: III
• Michael Atiyah, Isadore Singer: The index of elliptic operators: IV
• Michael Atiyah, Isadore Singer: The index of elliptic operators: V
• Friedrich Hirzebruch: Topological methods in algebraic geometry
• John Roe: Elliptic operators, topology and asymptotic methods
• Nicole Berline, Ezra Getzler, Michèle Vergne: Heat kernels and Dirac operators
• H. Blaine Lawson, Marie-Louise Michelsohn: Spin Geometry