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Quantum Topology

The Caltech Quantum Topology Group explores the rich interface between low-dimensional topology, quantum field theory, and representation theory. Research focuses on understanding the deep connections between knot invariants, 3-manifold invariants, and their origins in physics—from Chern-Simons theory to categorification and beyond.

For more information, please visit topology.fyi

Faculty

Sergei Gukov
John D. MacArthur Professor of Theoretical Physics and Mathematics