Formal homotopy quantum field theories. I: Formal maps and crossed \(\mathcal{C}\)-algebras.
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Publication:847565
zbMath1205.57024arXivmath/0512032MaRDI QIDQ847565
Timothy Porter, Vladimir G. Turaev
Publication date: 17 February 2010
Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0512032
Nonabelian homological algebra (category-theoretic aspects) (18G50) Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) Homotopy theory (55P99)
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Book Review: Homotopy quantum field theory ⋮ Monoidal categories graded by crossed modules and 3-dimensional HQFTs ⋮ Higher lattices, discrete two-dimensional holonomy and topological phases in (3 + 1)D with higher gauge symmetry ⋮ Crossed modules of monoids. I: Relative categories ⋮ Cyclic foam topological field theories ⋮ Remarks on 2-dimensional HQFTs ⋮ Crossed Complexes and Higher Homotopy Groupoids as Noncommutative Tools for Higher Dimensional Local-to-Global Problems
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