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Habiro Lab
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A lab that studies links and 3-manifolds through algebraic structures.
AboutAbout the lab
Exploring the connections between shape and algebra.
The Habiro Lab works in topology, studying the relationships between topology and various algebraic structures.
Until now, the lab has mainly studied quantum invariants of 3-manifolds and links.
Recently, the lab has also become interested in homological algebra, including group homology and Hochschild homology.
Key terms
- Link
- A figure made up of several closed loops of string that are intertwined with one another. A link with just one loop is a knot.
- 3-manifold
- A shape that looks like the 3-dimensional space we live in around every one of its points.
- Quantum invariant
- A quantity, constructed using algebraic structures such as quantum groups, that is used to distinguish links and manifolds from one another.
ResearchResearch themes
The lab's field is topology, with research themes in low-dimensional topology, quantum topology, and algebraic topology. The lab is interested in the relationships between topology and various algebraic structures.
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MembersFaculty
- ProfessorKazuo HabiroPublications ↗
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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: “3D Borromean Rings” Jim.belk / Public domain (cropped)
- Low-Dimensional, Quantum, and Algebraic Topology: “JacobiDiagram” Enyokoyama / CC BY-SA 4.0 (cropped)
- Related lab (Sakasai Lab): “Triple torus illustration” Oleg Alexandrov / Public domain (cropped)
- Related lab (Asuke Lab): “Reeb foliation half-torus POV-Ray” Ilya Voyager / CC0 (cropped)
- Related lab (Ueda Lab): “Quintic 1” The original uploader was Floriang at German Wikipedia. / CC BY-SA 3.0 (cropped)
- Related lab (Konno Lab): “Hopf Fibration” Niles Johnson / CC BY 4.0 (cropped)
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