Venue: Emmy Noether Seminar Room

Class timings: 10:00 AM -11:30 AM on Mondays & Fridays

First meeting: 11th August 2022

Course description:

Topology:  Some preliminaries, Fundamental group, covering spaces;   Homology theory.

Geometry: Differentiable manifolds, tangent and cotangent spaces, vector fields and their flows,  differential forms, de Rham cohomology.

Books: Topology( Munkres) , Algebraic topology (Munkres) , Introduction to smooth manifolds (Lee), Geometry , Topology and Physics (Nakahara).

Course evaluation: 
20% HW, 40% Mid-term exam,  40% final exam

Credit Score: 4