HABIRO Kazuo

HABIRO Kazuo is a professor at The University of Tokyo, Department of MATH. His research interests include low-dimensional topology, quantum topology, and algebraic topology, with a focus on the relationships between topology and various algebraic structures. He has conducted significant work on quantum invariants of 3-manifolds and links, as well as homological algebra topics such as group homology and Hochschild homology. His publications include studies on the Kontsevich integral, trace decategorification of categorified quantum sl(2), and unified quantum invariants for integral homology spheres. He has also contributed to the development of the LMO invariant for Lagrangian cobordisms and refined Kirby calculus.

Kazuo Habiro is a mathematician specializing in low-dimensional topology and quantum invariants. His research focuses on the study of knots, links, and 3-manifolds through the lens of quantum topology and categorification. He has contributed significantly to the understanding of finite type invariants, quantum sl2 invariants, and the Witten–Reshetikhin–Turaev invariants for integral homology spheres. His work also explores the connections between mapping class groups, homology cobordisms, and symplectic Jacobi diagrams. Habiro's research has advanced the development of unified quantum invariants and the categorification of quantum groups, providing foundational insights into the structure of topological invariants.