Algebraic Topology Homology:A review of simplicial homology, Singular homology, Excision, Mayer- Vietoris theorem, CW-complexes and Cellular homology, Classical Applications including the Jordan Curve Theorem. Cohomology:Cohomology groups, Universal coefficient theorems, Cup products, Kunneth formula, Orientation on manifolds, Poincare duality, introduction to smooth manifolds and de Rham cohomology.


Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 01 Mar 2021