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Tange Lab
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The lab studies low-dimensional topology, including Dehn surgery and 4-manifolds.
AboutAbout the lab
Exploring low-dimensional topology through Dehn surgery and 4-manifolds
The Tange Lab studies low-dimensional topology.
The lab's website lists Dehn surgery, 4-manifolds, and Heegaard Floer homology as research topics.
In addition to research, Associate Professor Tange teaches university courses, does outreach such as visits to junior high schools, high schools, and universities, and writes articles for general-audience magazines.
Key terms
- 4-manifold
- A shape that looks like ordinary 4-dimensional space when viewed on a very small scale
- Dehn surgery
- An operation that cuts out the region around a knot and glues it back in a different way to create a new 3-dimensional space
- Heegaard Floer homology
- A mathematical theory for studying the properties of 3- and 4-dimensional shapes and knots
NewsLab news
View More ↗ResearchResearch themes
The lab's research field is low-dimensional topology. Its website lists Dehn surgery, 4-manifolds, and Heegaard Floer homology.
View More ↗MembersFaculty
- Associate ProfessorMotoo Tange
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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: “Knotted Mobius strip 3” Albert P. Carpenter / CC BY-SA 4.0 (cropped)
- Related lab (石井 敦 研究室): “Conway knot” Saung Tadashi / CC BY-SA 4.0 (cropped)
- Related lab (小野 肇 研究室): “Surface of revolution illustration violett” W like wiki / CC BY-SA 4.0 (cropped)
- Related lab (川村 一宏 研究室): “Geometry Lessons” KUHT / Public domain (cropped)
- Related lab (相山 玲子 研究室): “Schwarz CLP Surface” Anders Sandberg / CC BY-SA 3.0 (cropped)
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