Algebraic Topology

Timings and Venue:

Venue: LH-III (ground floor), Department of Mathematics.

Lecture times: Mon & Wed, 11:00 a.m - 12:30 p.m.

First Meeting: Wed, January 5, 2011, 11:00 a.m. (in LH-III).

Tutorial/Quiz times: to be announced.

Course Notes:

The course will be taught with a virtual whiteboard (using a Tablet PC). The whiteboards are posted here in PDF format (here are the notes from 2010).

Note: The whiteboard files are in Landscape mode. Please ensure that the setting is in this mode when printing and rotate while viewing.

Syllabus:

Homology: Singular homology, excision, Mayer-Vietoris theorem, acyclic models, CW-complexes simplicial and cellular homology, homology with coefficients.

Cohomology: Comology groups, relative cohomology, cup products, Kunneth formula, cap product, orientation on manifolds, Poincare duality.

References:

The main reference for this course is:

Hatcher, A., Algebraic Topology, Cambridge Univ. Press, 2002- an Indian Edition is Available.

Problems will be assigned from Hatcher and it is recommended that students purchase this book.

Other useful references are the following.

Greenberg, M. J., Lectures on Algebraic Topology. W. A. Bejamin Inc., London, 1973.
Munkres, J. R., Elements of Algebraic Topology, Addison-Wesley, 1984.
Spanier, E. H., Algebraic Topology, tata McGraw-Hill, 1966

Algebraic Topology

Timings and Venue:

Course Notes:

Syllabus:

References:

Problem Sets: