Cui, Shawn X.; Gustafson, Paul; Qiu, Yang; Zhang, Qing From torus bundles to particle-hole equivariantization. (English) Zbl 1483.18020 Lett. Math. Phys. 112, No. 1, Paper No. 15, 19 p. (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M20 57K16 58J28 PDF BibTeX XML Cite \textit{S. X. Cui} et al., Lett. Math. Phys. 112, No. 1, Paper No. 15, 19 p. (2022; Zbl 1483.18020) Full Text: DOI arXiv OpenURL
Müller, Lukas; Szabo, Richard J. ’t Hooft anomalies of discrete gauge theories and non-abelian group cohomology. (English) Zbl 1455.81042 Commun. Math. Phys. 375, No. 3, 1581-1627 (2020). Reviewer: Charles Nash (Maynooth) MSC: 81T50 81T13 81T45 81R05 20C25 20G10 18G40 83E30 81T30 53C80 58J28 PDF BibTeX XML Cite \textit{L. Müller} and \textit{R. J. Szabo}, Commun. Math. Phys. 375, No. 3, 1581--1627 (2020; Zbl 1455.81042) Full Text: DOI arXiv OpenURL
Carqueville, Nils; Meusburger, Catherine; Schaumann, Gregor 3-dimensional defect TQFTs and their tricategories. (English) Zbl 1441.81125 Adv. Math. 364, Article ID 107024, 58 p. (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 81T45 18M20 55N22 16L60 32Q25 57R18 PDF BibTeX XML Cite \textit{N. Carqueville} et al., Adv. Math. 364, Article ID 107024, 58 p. (2020; Zbl 1441.81125) Full Text: DOI arXiv OpenURL
Yau, Donald Homotopical quantum field theory. (English) Zbl 07140530 Hackensack, NJ: World Scientific (ISBN 978-981-121-285-7/hbk; 978-981-121-287-1/ebook). xi, 298 p. (2020). Reviewer: Ko Sanders (Dublin) MSC: 81-02 81-01 81T05 18M99 PDF BibTeX XML Cite \textit{D. Yau}, Homotopical quantum field theory. Hackensack, NJ: World Scientific (2020; Zbl 07140530) Full Text: DOI arXiv OpenURL
Andersen, Jørgen Ellegaard; Petersen, William Elbæk Asymptotic expansions of the Witten-Reshetikhin-Turaev invariants of mapping tori. I. (English) Zbl 1461.57005 Trans. Am. Math. Soc. 372, No. 8, 5713-5745 (2019). Reviewer: Ruth Lawrence (Jerusalem) MSC: 57K31 53D50 53C23 PDF BibTeX XML Cite \textit{J. E. Andersen} and \textit{W. E. Petersen}, Trans. Am. Math. Soc. 372, No. 8, 5713--5745 (2019; Zbl 1461.57005) Full Text: DOI arXiv OpenURL
Orendain, Juan Lifting bicategories into double categories: the globularily generated condition. (English) Zbl 1442.18021 Theory Appl. Categ. 34, 80-108 (2019). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18F15 PDF BibTeX XML Cite \textit{J. Orendain}, Theory Appl. Categ. 34, 80--108 (2019; Zbl 1442.18021) Full Text: arXiv Link OpenURL
Juhász, András Defining and classifying TQFTs via surgery. (English) Zbl 1408.57031 Quantum Topol. 9, No. 2, 229-321 (2018). Reviewer: Haimiao Chen (Beijing) MSC: 57R56 57R65 57M27 PDF BibTeX XML Cite \textit{A. Juhász}, Quantum Topol. 9, No. 2, 229--321 (2018; Zbl 1408.57031) Full Text: DOI arXiv OpenURL
Schommer-Pries, Christopher J. Tori detect invertibility of topological field theories. (English) Zbl 1405.18009 Geom. Topol. 22, No. 5, 2713-2756 (2018). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D05 57R15 57R56 57R65 81T45 PDF BibTeX XML Cite \textit{C. J. Schommer-Pries}, Geom. Topol. 22, No. 5, 2713--2756 (2018; Zbl 1405.18009) Full Text: DOI arXiv Backlinks: MO OpenURL
Juhász, András Cobordisms of sutured manifolds and the functoriality of link Floer homology. (English) Zbl 1358.57021 Adv. Math. 299, 940-1038 (2016). Reviewer: Daniel Mathews (Monash) MSC: 57M27 57R58 PDF BibTeX XML Cite \textit{A. Juhász}, Adv. Math. 299, 940--1038 (2016; Zbl 1358.57021) Full Text: DOI arXiv OpenURL
Banagl, Markus The tensor product of function semimodules. (English) Zbl 1312.16049 Algebra Univers. 70, No. 3, 213-226 (2013). Reviewer: Mirela Ştefănescu (Bucharest) MSC: 16Y60 15A69 46M05 PDF BibTeX XML Cite \textit{M. Banagl}, Algebra Univers. 70, No. 3, 213--226 (2013; Zbl 1312.16049) Full Text: DOI OpenURL
Oeckl, Robert Free Fermi and Bose fields in TQFT and GBF. (English) Zbl 1283.81114 SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 028, 46 p. (2013). Reviewer: David Auckly (Manhattan) MSC: 81T45 57R56 81T70 81P16 81T20 81S10 46C20 57Q20 PDF BibTeX XML Cite \textit{R. Oeckl}, SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 028, 46 p. (2013; Zbl 1283.81114) Full Text: DOI arXiv OpenURL
Baez, John C.; Lauda, Aaron D. A prehistory of \(n\)-categorical physics. (English) Zbl 1236.81006 Halvorson, Hans (ed.) et al., Deep beauty. Understanding the quantum world through mathematical innovation. Papers based on the presentations at the deep beauty symposium, Princeton, NJ, USA, October 3–4, 2007. Cambridge: Cambridge University Press (ISBN 978-1-107-00570-9/hbk; 978-1-139-06608-2/ebook). 13-128 (2011). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 81P05 81-03 00A79 01A60 01A61 PDF BibTeX XML Cite \textit{J. C. Baez} and \textit{A. D. Lauda}, in: Deep beauty. Understanding the quantum world through mathematical innovation. Papers based on the presentations at the deep beauty symposium, Princeton, NJ, USA, October 3--4, 2007. Cambridge: Cambridge University Press. 13--128 (2011; Zbl 1236.81006) Full Text: arXiv OpenURL
Lévy, Thierry Topological quantum field theories and Markovian random fields. (English) Zbl 1228.81251 Bull. Sci. Math. 135, No. 6-7, 629-649 (2011). MSC: 81T45 60J25 PDF BibTeX XML Cite \textit{T. Lévy}, Bull. Sci. Math. 135, No. 6--7, 629--649 (2011; Zbl 1228.81251) Full Text: DOI OpenURL
Schreiber, Urs AQFT from \(n\)-functorial QFT. (English) Zbl 1181.81099 Commun. Math. Phys. 291, No. 2, 357-401 (2009). Reviewer: Gert Roepstorff (Aachen) MSC: 81T40 81T45 81T05 57R56 PDF BibTeX XML Cite \textit{U. Schreiber}, Commun. Math. Phys. 291, No. 2, 357--401 (2009; Zbl 1181.81099) Full Text: DOI arXiv OpenURL
Porter, Timothy; Turaev, Vladimir Formal homotopy quantum field theories. I: Formal maps and crossed \(\mathcal{C}\)-algebras. (English) Zbl 1205.57024 J. Homotopy Relat. Struct. 3, No. 1, 113-159 (2008). Reviewer: Domenico Fiorenza (Roma) MSC: 57R56 55P99 18G50 81T45 PDF BibTeX XML Cite \textit{T. Porter} and \textit{V. Turaev}, J. Homotopy Relat. Struct. 3, No. 1, 113--159 (2008; Zbl 1205.57024) Full Text: arXiv EMIS OpenURL
Kaufmann, Ralph M. Orbifolding Frobenius algebras. (English) Zbl 1083.57037 Int. J. Math. 14, No. 6, 573-617 (2003). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 57R56 14N99 53D45 58D29 81T40 16W30 16W50 16L60 PDF BibTeX XML Cite \textit{R. M. Kaufmann}, Int. J. Math. 14, No. 6, 573--617 (2003; Zbl 1083.57037) Full Text: DOI arXiv OpenURL
Kerler, Thomas; Lyubashenko, V. V. Non-semisimple topological quantum field theories for 3-manifolds with corners. (English) Zbl 0982.57013 Lecture Notes in Mathematics. 1765. Berlin: Springer. vi, 379 p. (2001). Reviewer: Alberto Cavicchioli (Modena) MSC: 57R56 16W30 57N10 57-02 PDF BibTeX XML Cite \textit{T. Kerler} and \textit{V. V. Lyubashenko}, Non-semisimple topological quantum field theories for 3-manifolds with corners. Berlin: Springer (2001; Zbl 0982.57013) Full Text: DOI Link OpenURL
Manoliu, Mihaela Abelian Chern-Simons theory. I: A topological quantum field theory. (English) Zbl 0930.53057 J. Math. Phys. 39, No. 1, 170-206 (1998). Reviewer: Oliver Rudolph (Zaventem) MSC: 53Z05 81T13 58D30 81T45 53D50 57R56 PDF BibTeX XML Cite \textit{M. Manoliu}, J. Math. Phys. 39, No. 1, 170--206 (1998; Zbl 0930.53057) Full Text: DOI arXiv OpenURL
Masbaum, G. Introduction to spin TQFT. (English) Zbl 0889.57025 Kazez, William H. (ed.), Geometric topology. 1993 Georgia international topology conference, August 2–13, 1993, Athens, GA, USA. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 2(pt.1), 203-216 (1997). Reviewer: Alexander Frey (Berlin) MSC: 57N10 57R15 PDF BibTeX XML Cite \textit{G. Masbaum}, AMS/IP Stud. Adv. Math. 2, 203--216 (1997; Zbl 0889.57025) OpenURL
Braam, P. J.; Donaldson, S. K. Fukaya-Floer homology and gluing formulae for polynomial invariants. (English) Zbl 0996.57517 Hofer, Helmut (ed.) et al., The Floer memorial volume. Basel: Birkhäuser. Prog. Math. 133, 257-281 (1995). MSC: 57R57 58D27 58D29 PDF BibTeX XML Cite \textit{P. J. Braam} and \textit{S. K. Donaldson}, Prog. Math. 133, 257--281 (1995; Zbl 0996.57517) OpenURL
Kerler, Thomas Mapping class group actions on quantum doubles. (English) Zbl 0833.16039 Commun. Math. Phys. 168, No. 2, 353-388 (1995). Reviewer: A.V.Gemintern (Haifa) MSC: 16W30 17B37 57T05 81R50 81R05 81T05 PDF BibTeX XML Cite \textit{T. Kerler}, Commun. Math. Phys. 168, No. 2, 353--388 (1995; Zbl 0833.16039) Full Text: DOI arXiv OpenURL
Durhuus, Bergfinnur; Jakobsen, Hans Plesner; Nest, Ryszard Topological quantum field theories from generalized \(6j\)-symbols. (English) Zbl 0808.57010 Rev. Math. Phys. 5, No. 1, 1-67 (1993). MSC: 57N10 81T40 81R50 17B37 PDF BibTeX XML Cite \textit{B. Durhuus} et al., Rev. Math. Phys. 5, No. 1, 1--67 (1993; Zbl 0808.57010) Full Text: DOI OpenURL
Yetter, David N. TQFT’s from homotopy 2-types. (English) Zbl 0787.57002 J. Knot Theory Ramifications 2, No. 1, 113-123 (1993). Reviewer: J.A.Hillman (Sydney) MSC: 57M20 18B25 57N10 18F99 PDF BibTeX XML Cite \textit{D. N. Yetter}, J. Knot Theory Ramifications 2, No. 1, 113--123 (1993; Zbl 0787.57002) Full Text: DOI OpenURL
Wakui, Michihisa On Dijkgraaf-Witten invariant for 3-manifolds. (English) Zbl 0786.57008 Osaka J. Math. 29, No. 4, 675-696 (1992). Reviewer: M.Wakui (Osaka) MSC: 57N10 81T99 PDF BibTeX XML Cite \textit{M. Wakui}, Osaka J. Math. 29, No. 4, 675--696 (1992; Zbl 0786.57008) OpenURL
Jones, Vaughan F. R. Von Neumann algebras in mathematics and physics. (English) Zbl 0781.46046 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. I, 121-138 (1991). Reviewer: A.Wulfsohn (Coventry) MSC: 46L10 46L37 46N50 46L35 46N55 57M25 PDF BibTeX XML Cite \textit{V. F. R. Jones}, in: Proceedings of the international congress of mathematicians (ICM), August 21-29, 1990, Kyoto, Japan. Volume I. Tokyo etc.: Springer-Verlag. 121--138 (1991; Zbl 0781.46046) OpenURL