HABIRO, Kazuo

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Title
Professor
Field
Topology
Research interests
Low-dimensional topology, quantum topology, algebraic topology
Current research

I am interested in relations of topology and various algebraic structures. I have mainly studied quantum invariants of 3-manifolds and links. Recently, I am also interested in homological algebra such as group homology and Hochschild homology.
Selected publications
  1. (with G. Massuyeau) The Kontsevich integral for bottom tangles in handlebodies, Quantum. Topol. 12 (2021), no. 4, 593-703.
  2. (with A. Beliakova, A. Lauda and M. Živković) Trace decategorification of categorified quantum sl(2), Math. Ann. 367 (2017), no. 1-2, 397-440.
  3. (with T. T. Q. Lê) Unified quantum invariants for integral homology spheres associated with simple Lie algebras, Geom. Topol. 20 (2016), no. 5, 2687-2835.
  4. A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres, Invent. Math. 171 (2008), no. 1, 1-81.
  5. (with D. Cheptea and G. Massuyeau) A functorial LMO invariant for Lagrangian cobordisms, Geom. Topol. 12 (2008), no. 2, 1091-1170.
  6. Refined Kirby calculus for integral homology spheres, Geom. Topol. 10 (2006), 1113-1214.
  7. Claspers and finite type invariants of links, Geom. Topol. 4 (2000), 1-83.

Memberships, Awards and

activities

Mathematical Society of Japan

Geometry Prize of the Mathematical Society of Japan (2008)

Quantum Topology (editor)