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Enomoto Lab
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The lab approaches topology and integrable systems through the ideas of representation theory.
AboutAbout the lab
Reading topology through the lens of representation theory.
The Enomoto Lab uses the ideas of representation theory, a branch of algebra, to study objects related to topology and integrable systems.
The lab has worked on estimating the image of the Johnson homomorphism associated with the mapping class group of a surface, from the standpoint of representation theory.
The lab has also studied the relationship between hyperplane arrangements and quasi-invariants, and published a joint research paper on it in 2024.
On the researcher information page, quantum groups, Hecke algebras, crystal bases, and symmetric polynomials are also listed as research keywords.
Key terms
- Johnson homomorphism
- A homomorphism associated with objects such as the mapping class group of a surface. It provides a way to study the Lie algebra obtained as a first approximation of the mapping class group.
ResearchResearch themes
Using representation theory as a guide, the lab has explored new connections between low-dimensional topology, integrable systems, and algebra. So far, it has worked on the Johnson homomorphism associated with the mapping class group of a surface, and on the freeness of hyperplane arrangements.
View More ↗MembersFaculty
- Associate ProfessorNaoya Enomoto
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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: “Arrangement hyperplans” Kilom691 / CC BY-SA 4.0 (cropped)
- Related lab (大野 真裕 研究室): “Circular Hyperboloid of Two Sheets Quadric” Sam Derbyshire / CC BY-SA 4.0 (cropped)
- Related lab (小泉 憲裕 研究室): “Medical ultrasound examination” Christopher Hubenthal, U.S. Air Force / Public domain (cropped)
- Related lab (鈴木 淳 研究室): “Quantum Cats ( )” National Institute of Standards and Technology / Public domain (cropped)
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