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arXiv · 1607.05747

Lecture notes on 2-dimensional defect TQFT

Nils Carqueville
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Abstract

These notes offer an introduction to the functorial and algebraic description of 2-dimensional topological quantum field theories `with defects', assuming only superficial familiarity with closed TQFTs in terms of commutative Frobenius algebras. The generalisation of this relation is a construction of pivotal 2-categories from defect TQFTs. We review this construction in detail, flanked by a range of examples. Furthermore we explain how open/closed TQFTs are equivalent to Calabi-Yau categories and the Cardy condition, and how to extract such data from pivotal 2-categories.

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Nils Carqueville. 2016-09-20. Lecture notes on 2-dimensional defect TQFT. https://doi.org/10.4064/bc114-2

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