LAB LOGA page on LabLog, a review site (not the lab's official page)
Geometry 1 (Low-Dimensional Topology, Gauge Theory) Lab
Machine-translated · View original
The lab studies 4-manifolds using gauge theory and Floer theory.
AboutAbout the lab
Telling apart the shapes of four dimensions with gauge theory
Prof. Taniguchi's lab studies smooth structures on 4-manifolds in the field of low-dimensional topology.
The lab uses gauge theory, Floer theory, Floer homotopy types, Donaldson invariants, and Seiberg-Witten invariants.
Diffeomorphism groups and knots are also research themes.
Key terms
- Gauge theory
- A theory that studies the properties of shapes (manifolds) using equations that arose from field theory in physics
- Floer theory
- A theory that counts solutions of equations to construct invariants of 3- and 4-dimensional shapes
- Smooth structure
- The structure that determines how smoothness (differentiation) is defined on a shape
ResearchResearch themes
The lab studies smooth structures on 4-manifolds using gauge theory and Floer theory.
View More ↗
MembersFaculty
- Associate ProfessorMasaki Taniguchi
VoicesStudent voices
Ratings and reviews reflect the experiences of individual current or former students, not the lab's official views. Whether a lab has reviews, or how many, says nothing about the lab itself.
Students who take part in an interview may receive a thank-you gift worth ¥1,000, regardless of what they say.
Student ratings (0 students)
--
--
--
--
--
--
Student voices answer questions like these
- What's great about this lab?
- What did you learn after joining?
- What's the vibe, and what is the professor like?
- Who is this lab for?
- Where do graduates go?
Your experience can help younger students choose their lab. Your name won't be shown.
Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Geometry 1 (Low-Dimensional Topology, Gauge Theory) Lab
Geometry 1 and Analysis 2 (Topology, Operator Algebras) Lab (Kubota)Faculty of Science, School of ScienceWe study topology arising from the coarse geometric properti…
Algebra 2 and Geometry 2 Lab (Complex Geometry, Algebraic Geometry, Differential Geometry; Kenichi Yoshikawa)Faculty of Science, School of ScienceConstruction of invariants for algebraic varieties with triv…
Geometry 1 Lab (Topology; Tadayuki Watanabe)Faculty of Science, School of ScienceTopology of differentiable manifolds, diffeomorphism groups,…
Algebra 2 (Algebraic Geometry) Lab (Osamu Fujino)Faculty of Science, School of ScienceBirational geometry of higher-dimensional algebraic varietie…The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “Superfície não orientável - Bordo trifólio” Object made by MockUp Company, photo by Rodrigo.Argenton / CC BY-SA 4.0 (cropped)
- Surface knots and gauge theory: “Borromean Seifert surface” Accelerometer / CC BY-SA 3.0 (cropped)
- Related lab (Geometry 1 and Analysis 2 (Topology, Operator Algebras) Lab (Kubota)): “Topological insulator band structure” A13ean / CC BY-SA 4.0 (cropped)
- Related lab (Algebra 2 and Geometry 2 Lab (Complex Geometry, Algebraic Geometry, Differential Geometry; Kenichi Yoshikawa)): “Espace de Calabi-Yau” Rogilbert / Public domain (cropped)
- Related lab (Geometry 1 Lab (Topology; Tadayuki Watanabe)): “Borromean Rings Illusion” Jim.belk / Public domain (cropped)
- Related lab (Algebra 2 (Algebraic Geometry) Lab (Osamu Fujino)): “Sarti's octic with 144 nodes” Salix alba / CC BY-SA 4.0 (cropped)
About LabLog
LabLog is a lab review app for students only. Student members at each university interview students in labs and publish what they say. Student voices can only be read by students who sign up with a university email address. Operated by bestiee Inc.
Learn more about LabLog ↗Search engines and AI may reference the basic lab info and rating summaries on this page and the description of LabLog. Student voices are for student members only. Automated collection by programs (scraping, or input to or training of AI) is prohibited under Article 8 of the Terms of Service. If you need data for research or analysis, please contact us.