Course Identification

Title:

Topological K-Theory

Code:

20264142

Lecturers and Teaching Assistants

Lecturers:

Dr. Sybille Marie Paul Rosset

TA's:

N/A

Course Schedule and Location

Year:

2026

Semester:

Second Semester

When / Where:

Thursday, 11:15 - 13:00, Goldsmith, Rm 108

Tutorials
Wednesday, 11:15 - 12:15, Goldsmith, Rm 108

First Lecture:

16/04/2026

End date:

02/07/2026

Field of Study, Course Type and Credit Points

Mathematics and Computer Science: Lecture; Regular; 3.00 points

Comments

N/A

Prerequisites

Basic algebra knowledge is required. Some familiarity with smooth manifolds would be helpful.

Restrictions

Participants:

35

Language of Instruction

English

Attendance and participation

Expected and Recommended

Grade Type

Numerical (out of 100)

Grade Breakdown (in %)

Assignments:

60%

Final:

40%

All assignments are Take-Home Exams

Evaluation Type

Take-home exam

Scheduled date 1

Date / due date

N/A

Location

N/A

Time

-

Remarks

N/A

Estimated Weekly Independent Workload (in hours)

1

Syllabus

This course introduces the theory of vector bundles over topological spaces and smooth manifolds, emphasising their classification. We then develop topological K-theory as a generalised cohomology theory arising from vector bundles, exploring some of its properties. The course concludes with applications in geometry and topology.

Learning Outcomes

By the end of this course, students will be able to compute and apply characteristic classes to study vector bundles and their topological properties, and perform elementary computations in K-theory.

Reading List

A. Hatcher, Vector Bundles and K-Theory.

Website

N/A