MD102 Topological K-Theory

Faculty of Science
Spring 2003
Extent and Intensity
4/0/0. 6 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
doc. RNDr. Martin Čadek, CSc. (lecturer)
Guaranteed by
doc. RNDr. Martin Čadek, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Martin Čadek, CSc.
Prerequisites
M8130 Algebraic Topology
Basic notions from algebraic topology.
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
Basic course on vector bundles and on construction of K-groups of topological spaces. This costructions leads to rich cohomology theory with many interesting applications.
Syllabus
  • Vector bundles. Construction of K-theory. Bott periodicity. Computations of K-grups. Chern character. Applications.
Literature
  • Atiyah M.:Lectures on K-theory, Cambridge, 1965
  • Karoubi M.: K-theory, Springer, 1978.
  • Husemoller D.: Fibre bundles, McGraw-Hill, 1966
Assessment methods (in Czech)
Přednáška dvakrát týdně po dvou hodinách. Na přednáškách budou zadávány průběžné domácí úkoly. Jejich hodnocení bude tvořit 30% zkoušky. Další část zkoušky bude písemka a ústní zkouška.
Language of instruction
Czech
Further Comments
The course can also be completed outside the examination period.
The course is taught: every week.
Teacher's information
http://www.math.muni.cz/~cadek
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