MU04071 Algebraic and Differential Topology IV

Mathematical Institute in Opava
Summer 2012
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.
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.
The course is also listed under the following terms Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2009, Summer 2010, Summer 2011.
  • Enrolment Statistics (recent)
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