Topological quantum field theories¶
Atiyah, M. F. (1988). Topological quantum field theories. Publications Mathématiques de l'IHÉS.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Functor
- In topological quantum field theory, a TQFT is defined as a functor from the cobordism category to the category of vector spaces, so that the physical theory is the functor and its structure theorems are functor theorems
This sourceAtiyah's original axioms for a topological quantum field theory -- a module for each closed oriented d-manifold, a linear map induced by each cobordism, functorial under orientation-preserving diffeomorphisms -- which the modern 'functor from the cobordism category to vector spaces' formulation packages, though Atiyah does not state it in those categorical terms.
Supported in partVerified against the source
- In topological quantum field theory, a TQFT is defined as a functor from the cobordism category to the category of vector spaces, so that the physical theory is the functor and its structure theorems are functor theorems
- Topological quantum field theory
Verification¶
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