MU:MU04071 Algebraic and Diff. Top. IV - Course Information
MU04071 Algebraic and Differential Topology IV
Mathematical Institute in OpavaSummer 2011
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Guaranteed by
- doc. RNDr. Tomáš Kopf, Ph.D.
Mathematical Institute in Opava - Prerequisites (in Czech)
- MU04070 Algebraic and Diff. Top. III
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- This course deals with the classification of vector bundles over manifolds using topological and differential methods. It provides thus further invariants of algebraic topology.
- Syllabus
- Characteristic classes.
K-Theory in its geometric and algebraic formulation.
Bott periodicity.
- Characteristic classes.
- Literature
- recommended literature
- A. Hatcher. Vector Bundles & K-Theory. 2003. URL info
- M. Karoubi. "K-theory", an introduction. Springer-Verlag, 1978. info
- J. W. Milnor, J. D. Stasheff. Characteristic classes. Princeton University Press, Princeton, NJ; Unive, 1974. ISBN 0-691-08122-0. info
- M. F. Atiyah. K-Theory. W.A. Benjamin, Inc. New York, 1967. info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Enrolment Statistics (Summer 2011, recent)
- Permalink: https://is.slu.cz/course/sumu/summer2011/MU04071