MU04071 Algebraic and Differential Topology IV

Mathematical Institute in Opava
Summer 2010
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Guaranteed by
doc. RNDr. Kristína Smítalová, CSc.
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 (in Czech)
Tato přednáška se zabývá klasifikací vektorových fibrovaných prostorů nad varietami topologickými a diferenciálními metodami. Poskytne tak další invarianty algebraické topologie.
Syllabus (in Czech)
  • Charakteristické třídy
    K-teorie v geometrické a algebraické formulaci.
    Bottova periodicita.
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 2011, Summer 2012.
  • Enrolment Statistics (Summer 2010, recent)
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