Purdue Quantum Topology Student Seminar

Resources and Papers

Here are some books I recommend obtaining copies of. Feel free to ask me to provide these but I cannot distribute them here.

Rolfsen – Knots and Links
Turaev - Quantum Invariants of Knots and 3-Manifolds
Kassel - Quantum Groups

Here are some papers I will be referencing during the seminar. This list will change throughout the semester.

Remy Bohm – Morse Theory and Handle Decompositions
Greg Kuperberg – Involutory Hopf Algebras and 3-Manifold Invariants
Greg Kuperberg – Non-Involutory Hopf Algebras and 3-Manifold Invariants
Turaev and Viro – State Sum Invariants of 3-Manifolds and Quantum 6j-Symbols
Shawn Cui – State Sum Invariants of Three Manifolds from Spherical Multi-fusion Categories
Shawn Cui – Higher Categories and Topological Quantum Field Theories
RJ Lawrence – Triangulations, Categories, and Extended Topological Field Theories (Messed up pdf)
Dan Freed – What is an Anomaly? – Anomalies and Invertible Field Theories – Relative Quantum Field Theory

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