# M4P52 Manifolds, Autumn 2017

## Office hour

Office hour will be Tuesdays at 16:00 (*i.e.* before the lecture), 631 Huxley Building.

## References

Please check last year's notes by Prof. Ed Segal: Manifolds 2016

L. Tu, *An introduction to manifolds*

J. Lee, *Introduction to smooth manifolds*

W. Boothby, *Introduction to differentiable manifolds and riemannian geometry*

M. Spivak, *A comprehensive introduction to differential geometry, vol. 1*

## Background

J. Munkres, *Topology*, the first part of the book only.

Any calculus book that covers multivariable calculus.

Linear algebra, at the level of Hoffmann's.

Real analysis is a plus but not essential. A reference would be Rudin's.

## Lecture notes

Shinu Cho is live typing his notes, you may find it here

## Problem sheets

There will be a homework each week. These assessed questions will collectively count for 10% of your overall mark.
Homework 1(Due Friday, Oct. 20th) | (solutions) | (grades distribution)

Homework 2(Due Monday, Oct. 30th) | (solutions) | (grades distribution)

Homework 3(Due Monday, Nov. 6th) | (solutions) | (grades distribution)

Homework 4(Due Monday, Nov. 13th) | references | (solutions) | (grades distribution)

Homework 5(Due Monday, Nov. 20th) | references | (solutions) | (grades distribution)

Homework 6(Due Monday, Nov. 27th) | references | (solutions) | (grades distribution)

Homework 7(Due Monday, Dec. 4th) | references | (solutions) | (grades distribution)

Homework 8(Due Monday, Dec. 11th) | references | (solutions) | (grades distribution)