Class timings: Tue Thu 3:30-5pm First meeting on Thursday, Jan 2nd
Office hours : Please email me for an appointment
Recommended books: F. Warner, Foundations of Differentiable Manifolds and Lie Groups, Springer GTM 1983.
J.M. Lee, Introduction to smooth manifolds, Springer GTM 2012.
S. Kumaresan, A Course in Differential Geometry and Lie Groups, Hindustan Book Agency, 2002.
V. Guillemin and A. Pollack, Differential Topology, AMS 1974, reprint edition 2010.
Grading policy: 10% quizzes, 40% Midterm exam , 50% Final exam.
The first class will be on January 2nd 2020.
There will be no class in the week of Jan 6-10.
Quiz 1 will be in class on January 28.
The midterm exam will be held from 3:30 - 5pm on February 18th.
There will be no class on February 13th (Thursday).
Quiz 2 will be in class on March 12.
There will be an online class over Zoom on March 24th , 3:30pm.
The final quiz will be on April 16. Questions will be sent over email at 3:30pm.
post Covid-19:
Zoom Lecture 1 notes (24/3)
Zoom Lecture 2 notes (26/3)
Zoom Lecture 3 notes (31/3)
Zoom Lecture 4 notes (2/4)
Zoom Lecture 5 notes (7/4)
Zoom Lecture 6 notes (9/4)
Zoom Lecture 7 notes (14/4)
Zoom Lecture 8 notes (16/4)
S.D. : Principal Bundles to Chern-Weil homomorphism
A. U.: The Hodge decomposition theorem
A. R.: Quotient manifolds and applications
D. S.: Orientability of differentiable manifolds
S. M.: Immersed submanifolds, tubular neighborhoods and transversality
A. B.: A short introduction to complex manifolds
E.M.S: Connections and Curvature
A.N.B: Cohomology of Compact Lie groups