Homework

Here is the first set of homework problems: (October 12)

Here is the second set of homework problems: (Due Nov. 20)

Here is the third set of homework problems. Remember (see syllabus) that, as with the previous homeworks, you are neither expected nor encouraged to do all of these; each problem is worth 2.5 points, and there is a cap on the total number of homework points you can earn (Due Dec. 19):

The exercises below refer to Hutchings/Taubes:

1.4

1.5

1.7

1.12

1.13

1.14

2.2 (requires a little bit of reading around where the problem is stated)

2.12

3.1

3.3 (can assume 2.11)

3.5

4.2

4.6

Do the exercise, regarding Cartan’s Magic Formula, on p. 44 of the Ana Canas da Silva lecture notes here. Only do it for “autonomous” vector fields, that is vector fields that do not depend on time.

Chen, Exercise 1.4 (you might have to do a little bit of reading around where the problem is stated)