Introduction to Algebraic Topology
Timings and Venue:
- Venue: LH-III (ground floor),
Department of Mathematics.
- Lecture times: Wed
& Fri, 11:00 a.m - 12:30 p.m.
- First Meeting: Wed, August 3,
2011, 11:00 a.m. (in LH-III).
times: to be
The course will be taught with
a virtual whiteboard (using a Tablet PC). The whiteboards for Fundamental groups and Homology
here in PDF format.
whiteboard files are in Landscape
mode. Please ensure that the setting is in this
mode when printing and rotate while viewing.
fundamental group: Homotopy of maps,
multiplication of paths,
the fundamental group, induced homomorphisms, the
of the circle, covering spaces,
lifting theorems, the universal
Seifert-Van Kampen theorem, applications.
Simplicial Complexes, Simplicial and Singular homology -
Properties and Applications.
reference for this course is:
Problems will be assigned from Hatcher
and it is recommended that students purchase this book.
- Hatcher, A.,
Algebraic Topology, Cambridge Univ. Press, 2002-
an Indian Edition is Available.
Other useful references are the following.
- Armstong, M.A., Basic Topology, ,
Springer (India), 2004.
- Munkres, J. R., Topology,
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
Lectures with Audio (for Homology):
- Lecture 1 (homology):
(warning: 15 second waiting on title slide); Technical issue for this
lecture - recorded without a mocrophone, so perisitent noise of pen
writing on tablet.