Department of Mathematics

INDIAN INSTITUTE OF SCIENCE

MA 332: Algebraic Topology

Credits: 3:0

Prerequisite courses: MA 232

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.

Suggested books and references:

1. Hatcher, A., Algebraic Topology, Cambridge Univ. Press, 2002 (Indian edition is available).
2. Rotman, J, An Introduction to Algebraic Topology, Graduate Texts in Mathematics, 119, Springer-Verlag, 1988.
3. Munkres, I. R., Elements of Algebraic Topology, Addison-Wesiley, 1984.

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