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Topology Lab
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A topology lab that studies invariants of knots and links from an algebraic perspective.

AboutAbout the lab
Focusing on invariants of knots and links
The topology lab is interested in invariants of manifolds, and its research areas are topology, algebraic geometry, and knot theory.
Currently, it focuses on several invariants of knots and links, which are 1-dimensional manifolds in the 3-sphere.
Its goal is to express these invariants from an algebraic perspective.
The faculty member teaches Mathematics Exercises I and II in the Mathematical Sciences Educational Program (EP) of the Department of Mathematics, Physics, Electrical Engineering and Computer Science.
Key terms
- Knots and links
- 1-dimensional manifolds in the 3-sphere. They are the objects this lab focuses on.
- Invariant
- A quantity or property attached to a manifold or knot that does not change under deformation. It serves as a clue for telling objects apart.
ResearchResearch themes
This lab is interested in invariants of manifolds and studies them from the standpoint of topology and knot theory. Currently, its goal is to express invariants of knots and links from an algebraic perspective.
View More ↗MembersFaculty
- Special Research FacultyMaki Nagura
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Versatackle Knot Step5” No machine-readable author provided. Starfoxy~commonswiki assumed (based on copyright claims). / CC BY-SA 3.0 (cropped)
- Invariants of Knots and Links: “Good luck knot(ABOK 2437)” Zaripov Rustem / CC BY-SA 4.0 (cropped)
- Related lab (Algebra Lab): “Disqvisitiones-800” 作者不詳 / Public domain (cropped)
- Related lab (Algebra Lab (Shushi Harashita)): “De Long Room - DPLA - 4a293bd28e3b53c081af01f5355f855c” Brackett, J. Raymond / Public domain (cropped)
- Related lab (Topological Graph Theory Lab): “Nauru-graph-on-torus-2” PSL27 / CC BY-SA 4.0 (cropped)
- Related lab (Algebra Lab): “Geometric sculpture at New Mersey Park” Rodhullandemu / CC BY-SA 4.0 (cropped)
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