Assignment 2, due September 6:
Do problems 5, 7, and 10 from page 50 of the text.
Assignment 3, due September 20:
Do problems 13, 14, and 17 from page 50 of the text, as well as the
Lie bracket problem.
Assignment 4, due September 27: Do the exterior algebra problems.
Assignment 5, due October 4: Do problems 10 and 13 from pages 78-79 of the text, and exercise 2 from page 157.
Assignment 6, due October 25: Do problems 11, 12, 15, 16abc, 18, 19 on pages 158-160.
Assignment 7, due November 8: Do problems 3, 4, 6, and 11 on page 216.
Assignment 8, due November 29:
Do problems 17 and 21 on page 216.
Compute the Cech cohomology of the constant sheaf R on
S1=R/Z
with covering U={(0,2/3),(1/2,1),(3/4,5/4)}, and on
S2={(x,y,z): x2+y2+z2=1}
with U={z>0, z<0, x>0, x<0, y>0, y<0}.