Mathematics 254Z

Applications of Khovanov homology in low-dimensional topology (121093)

Gage Martin

2025 Fall (4 Credits)

Schedule: TR 0900 AM - 1015 AM

Instructor Permissions: None

Enrollment Cap: n/a

This course aims to provide an introduction to Khovanov homology with a focus on a non-exhaustive survey of its applications in the world of topology. A topologist can hope to leave this course with a better idea of when a tool like Khovanov homology could be helpful/how they might use it. On the other side of the spectrum, a categorification expert can hope to leave this course with a better idea of what types of questions topologists might hope to use Khovanov-like invariants for as well as the current gaps between what a topologist might want and what the theories are capable of doing.

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