TL;DR
This paper introduces a method to construct 3-dimensional Homotopy Quantum Field Theories (HQFTs) from G-modular categories using surgery, extending the classical surgery approach used for TQFTs.
Contribution
It generalizes the surgery construction of 3D TQFTs to the setting of HQFTs derived from G-modular categories, broadening the theoretical framework.
Findings
Established a surgery-based construction for 3D HQFTs
Extended the classical TQFT surgery method to HQFTs
Provided a new link between G-modular categories and HQFTs
Abstract
Homotopy Quantum Field Theories (HQFTs) generalize more familiar Topological Quantum Field Theories (TQFTs). In generalization of the surgery construction of 3-dimensional TQFTs from modular categories, we use surgery to derive 3-dimensional HQFTs from G-modular categories.
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Taxonomy
TopicsCardiac, Anesthesia and Surgical Outcomes