Purdue Quantum Topology Student Seminar Fa 2025

Thank you for your interest in the Purdue Quantum Topology Student Seminar! This website will host the schedule and meeting notes as well as links to helpful resources/papers.

The schedule for the seminar is below. We meet on Wednesdays at 12:30pm in BRNG B232. If we are not meeting, then that date will not be in the calendar.

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 have referenced during the seminar.

• Remy Bohm – Morse Theory and Handle Decompositions

• Francois Laudenbach - A proof of Reidemeister-Singer's Theorem by Cerf's Methods

• 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