IMPRESSUM    DATENSCHUTZ
	Fakultät für Mathematik	Universität Regensburg
Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Topics in topology: The h-cobordism theorem and characteristic classes Semester SoSe 2025 Lecturer Stefan Friedl Type of course (Veranstaltungsart) Vorlesung German title H-Kobordismussatz und charakteristische Klassen Contents We will prove the h-cobordism theorem which implies in particular that every smooth homotopy sphere of dimension n> 5 is homeomorphic to S^n. We will also develop the theory of characteristic classes. Using the Hirzebruch signature theorem we will show that there exist exotic smooth structures on S^7. Literature there will be lecture notes Recommended previous knowledge basics of differential topology, cohomology Time/Date Tuesday and Thursday 10-12 Location M 102 Registration Registration for course work/examination/ECTS: FlexNow Course work (Studienleistungen) Successful participation in the exercise classes: there will be a weekly exercise sheet, the time of the exercise class will be fixed in the first lecture Examination (Prüfungsleistungen) Oral exam: Duration: 25 minutes , Date: TBA, re-exam: Date: Modules BV, MV, MGAGeo ECTS 9

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