Grandis, Marco Manifolds and local structures. A general theory. (English) Zbl 1487.58001 Hackensack, NJ: World Scientific (ISBN 978-981-12-3399-9/hbk; 978-981-12-3401-9/ebook). xi, 361 p. (2021). Reviewer: Miroslaw Doupovec (Brno) MSC: 58-02 58A05 18D20 18-01 PDFBibTeX XMLCite \textit{M. Grandis}, Manifolds and local structures. A general theory. Hackensack, NJ: World Scientific (2021; Zbl 1487.58001) Full Text: DOI
Chakraborty, Partha Sarathi; Guin, Satyajit Multiplicativity of Connes’ calculus. (English) Zbl 1436.58006 Rev. Math. Phys. 31, No. 9, Article ID 1950033, 20 p. (2019). Reviewer: Iakovos Androulidakis (Athína) MSC: 58B34 18D15 16E45 PDFBibTeX XMLCite \textit{P. S. Chakraborty} and \textit{S. Guin}, Rev. Math. Phys. 31, No. 9, Article ID 1950033, 20 p. (2019; Zbl 1436.58006) Full Text: DOI arXiv
El Kaoutit, Laiachi On geometrically transitive Hopf algebroids. (English) Zbl 1390.16030 J. Pure Appl. Algebra 222, No. 11, 3483-3520 (2018). MSC: 16T15 18B40 18D35 18D10 14M17 20L05 58H05 PDFBibTeX XMLCite \textit{L. El Kaoutit}, J. Pure Appl. Algebra 222, No. 11, 3483--3520 (2018; Zbl 1390.16030) Full Text: DOI arXiv
Scott, Simon Log TQFT. (English) Zbl 1423.18024 J. Geom. Phys. 123, 1-29 (2018). MSC: 18D10 19K56 46M15 57R56 58J52 PDFBibTeX XMLCite \textit{S. Scott}, J. Geom. Phys. 123, 1--29 (2018; Zbl 1423.18024) Full Text: DOI Link
Garner, Richard An embedding theorem for tangent categories. (English) Zbl 1430.18007 Adv. Math. 323, 668-687 (2018). Reviewer: Augusto Stoffel (Greifswald) MSC: 18D20 18F15 58A05 PDFBibTeX XMLCite \textit{R. Garner}, Adv. Math. 323, 668--687 (2018; Zbl 1430.18007) Full Text: DOI arXiv
Costello, Kevin; Gwilliam, Owen Factorization algebras in quantum field theory. Volume 1. (English) Zbl 1377.81004 New Mathematical Monographs 31. Cambridge: Cambridge University Press (ISBN 978-1-107-16310-2/hbk; 978-1-00-900616-3/set; 978-1-316-67862-6/ebook). ix, 387 p. (2016). Reviewer: Albert Sheu (Lawrence) MSC: 81-02 81T10 81T70 81R10 17B67 17B69 17B70 81T45 58J28 16E45 47A68 18G35 18F20 17-02 PDFBibTeX XMLCite \textit{K. Costello} and \textit{O. Gwilliam}, Factorization algebras in quantum field theory. Volume 1. Cambridge: Cambridge University Press (2016; Zbl 1377.81004) Full Text: DOI
Coumans, Dion; Jacobs, Bart Scalars, monads and categories. (English) Zbl 1342.18007 Heunen, Chris (ed.) et al., Quantum physics and linguistics. A compositional, diagrammatic discourse. Oxford: Oxford University Press (ISBN 978-0-19-964629-6/hbk). 184-216 (2013). Reviewer: S. Moskaliuk (Kyiv) MSC: 18C20 18C15 81P05 58D19 18B05 18D10 PDFBibTeX XMLCite \textit{D. Coumans} and \textit{B. Jacobs}, in: Quantum physics and linguistics. A compositional, diagrammatic discourse. Oxford: Oxford University Press. 184--216 (2013; Zbl 1342.18007) Full Text: arXiv
Brzeziński, Tomasz A note on flat noncommutative connections. (English) Zbl 1272.58004 Pusz, Wiesław (ed.) et al., Operator algebras and quantum groups. Proceedings of the conference, Warsaw, Poland, September 19–23, 2011. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-17-1/pbk). Banach Center Publications 98, 43-53 (2012). Reviewer: Magnus Goffeng (Hannover) MSC: 58B34 53C05 PDFBibTeX XMLCite \textit{T. Brzeziński}, Banach Cent. Publ. 98, 43--53 (2012; Zbl 1272.58004) Full Text: DOI arXiv
Carchedi, David Compactly generated stacks: a Cartesian closed theory of topological stacks. (English) Zbl 1254.14003 Adv. Math. 229, No. 6, 3339-3397 (2012). Reviewer: Timothy Porter (Bangor) MSC: 14A20 18B30 18D15 58H05 22A22 18F20 PDFBibTeX XMLCite \textit{D. Carchedi}, Adv. Math. 229, No. 6, 3339--3397 (2012; Zbl 1254.14003) Full Text: DOI arXiv
Majid, Shahn; Tomašić, Ivan On braided zeta functions. (English) Zbl 1258.14030 Bull. Math. Sci. 1, No. 2, 379-396 (2011). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14G10 58B32 81R50 18D10 PDFBibTeX XMLCite \textit{S. Majid} and \textit{I. Tomašić}, Bull. Math. Sci. 1, No. 2, 379--396 (2011; Zbl 1258.14030) Full Text: DOI arXiv
Cockett, J. R. B.; Cruttwell, G. S. H.; Gallagher, J. D. Differential restriction categories. (English) Zbl 1260.14004 Theory Appl. Categ. 25, 537-613 (2011). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 14A20 18D10 18C20 12H05 32W99 58A99 PDFBibTeX XMLCite \textit{J. R. B. Cockett} et al., Theory Appl. Categ. 25, 537--613 (2011; Zbl 1260.14004) Full Text: arXiv EMIS
Smyth, Conor; Woolf, Jon Whitney categories and the Tangle Hypothesis. arXiv:1108.3724 Preprint, arXiv:1108.3724 [math.CT] (2011). MSC: 18D10 18F20 53A07 57Q45 57R99 58A35 BibTeX Cite \textit{C. Smyth} and \textit{J. Woolf}, ``Whitney categories and the Tangle Hypothesis'', Preprint, arXiv:1108.3724 [math.CT] (2011) Full Text: arXiv OA License
Brzezińksi, Tomasz On synthetic interpretation of quantum principal bundles. (English) Zbl 1216.58002 Arab. J. Sci. Eng. (AJSE), Math. 35, No. 1D, 13-27 (2010). MSC: 58B34 58B32 18D10 16T15 PDFBibTeX XMLCite \textit{T. Brzezińksi}, Arab. J. Sci. Eng. (AJSE), Math. 35, No. 1D, 13--27 (2010; Zbl 1216.58002) Full Text: arXiv
Scott, Simon Logarithmic structures and TQFT. (English) Zbl 1219.58016 Carey, Alan (ed.) et al., Motives, quantum field theory, and pseudodifferential operators. Based on lectures of the conference, Boston, MA, USA, June 2–13, 2008. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5199-9/pbk). Clay Mathematics Proceedings 12, 309-331 (2010). Reviewer: Michael Farber (Zürich) MSC: 58J52 18D10 18G55 19D55 57R56 58J22 58J40 81T45 PDFBibTeX XMLCite \textit{S. Scott}, Clay Math. Proc. 12, 309--331 (2010; Zbl 1219.58016)
Khalkhali, Masoud; Pourkia, Arash Hopf cyclic cohomology in braided monoidal categories. (English) Zbl 1209.58008 Homology Homotopy Appl. 12, No. 1, 111-155 (2010). Reviewer: Mădălina Buneci (Targu-Jiu) MSC: 58B34 16T05 PDFBibTeX XMLCite \textit{M. Khalkhali} and \textit{A. Pourkia}, Homology Homotopy Appl. 12, No. 1, 111--155 (2010; Zbl 1209.58008) Full Text: DOI arXiv Link
Fukumoto, Yoshihiro Cobordism category of plumbed 3-manifolds and intersection product structures. (English) Zbl 1187.57024 J. Homotopy Relat. Struct. 4, No. 1, 39-68 (2009). Reviewer: Andrzej Szczepański (Gdańsk) MSC: 57Q20 55N45 57R57 58J70 55N20 18B30 55N22 18D10 PDFBibTeX XMLCite \textit{Y. Fukumoto}, J. Homotopy Relat. Struct. 4, No. 1, 39--68 (2009; Zbl 1187.57024) Full Text: arXiv EMIS
Hadfield, Tom; Krähmer, Ulrich Braided homology of quantum groups. (English) Zbl 1188.58005 J. \(K\)-Theory 4, No. 2, 299-332 (2009). Reviewer: Akira Asada (Takarazuka) MSC: 58B32 19D55 16T05 16T10 16T15 PDFBibTeX XMLCite \textit{T. Hadfield} and \textit{U. Krähmer}, J. \(K\)-Theory 4, No. 2, 299--332 (2009; Zbl 1188.58005) Full Text: DOI arXiv Link
Beggs, E. J.; Majid, S. Bar categories and star operations. (English) Zbl 1180.18002 Algebr. Represent. Theory 12, No. 2-5, 103-152 (2009). Reviewer: Ross H. Street (North Ryde) MSC: 18D10 46L87 58B32 16T05 81R50 PDFBibTeX XMLCite \textit{E. J. Beggs} and \textit{S. Majid}, Algebr. Represent. Theory 12, No. 2--5, 103--152 (2009; Zbl 1180.18002) Full Text: DOI arXiv
Lauda, Aaron D.; Pfeiffer, Hendryk Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras. (English) Zbl 1158.57038 Topology Appl. 155, No. 7, 623-666 (2008). Reviewer: Sam Nelson (Claremont) MSC: 57R56 57M99 81T40 58E05 19D23 18D35 PDFBibTeX XMLCite \textit{A. D. Lauda} and \textit{H. Pfeiffer}, Topology Appl. 155, No. 7, 623--666 (2008; Zbl 1158.57038) Full Text: DOI arXiv
Donin, J.; Mudrov, A. Dynamical Yang-Baxter equation and quantum vector bundles. (English) Zbl 1069.17006 Commun. Math. Phys. 254, No. 3, 719-760 (2005). Reviewer: Janusz Grabowski (Warszawa) MSC: 17B37 16T25 53D17 58B32 PDFBibTeX XMLCite \textit{J. Donin} and \textit{A. Mudrov}, Commun. Math. Phys. 254, No. 3, 719--760 (2005; Zbl 1069.17006) Full Text: DOI arXiv
Lychagin, V. Calculus and quantizations over Hopf algebras. (English) Zbl 0914.18007 Acta Appl. Math. 51, No. 3, 303-352 (1998). Reviewer: R.H.Street (North Ryde) MSC: 18D20 37J35 37K10 35A99 58J99 81R50 16W30 58A50 35Q53 PDFBibTeX XMLCite \textit{V. Lychagin}, Acta Appl. Math. 51, No. 3, 303--352 (1998; Zbl 0914.18007) Full Text: DOI arXiv
Nest, Ryszard; Tsygan, Boris The Fukaya type categories for associative algebras. (English) Zbl 1167.18303 Sternheimer, Daniel (ed.) et al., Deformation theory and symplectic geometry. Proceedings of the Ascona meeting, Switzerland, June 17–21, 1996. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-4525-8/hbk). Math. Phys. Stud. 20, 285-300 (1997). MSC: 18D10 16E65 16E30 16E40 18G50 53D40 18G60 55U35 58B32 PDFBibTeX XMLCite \textit{R. Nest} and \textit{B. Tsygan}, Math. Phys. Stud. 20, 285--300 (1997; Zbl 1167.18303) Full Text: arXiv
Maltsiniotis, G. Traces in monoidal categories, duality, and fibered monoidal categories. (Traces dans les catégories monoïdales, dualité et catégories monoïdales fibrées.) (French) Zbl 0831.18002 Cah. Topologie Géom. Différ. Catég. 36, No. 3, 195-288 (1995). Reviewer: I.Pop (Iaşi) MSC: 18D10 17B37 57M25 58H05 81R50 16W30 PDFBibTeX XMLCite \textit{G. Maltsiniotis}, Cah. Topologie Géom. Différ. Catégoriques 36, No. 3, 195--288 (1995; Zbl 0831.18002) Full Text: Numdam EuDML
Quinn, Frank Lectures on axiomatic topological quantum field theory. (English) Zbl 0901.18002 Freed, Daniel S. (ed.) et al., Geometry and quantum field theory. Lecture notes from the graduate summer school program, June 22-July 20, 1991, Park City, UT, USA. Providence, RI: American Mathematical Society. IAS/Park City Math. Ser. 1, 323-453 (1995). Reviewer: Viktor Abramov (Tartu) MSC: 18D10 81T05 58Z05 81-02 57R57 57N99 58D29 PDFBibTeX XMLCite \textit{F. Quinn}, IAS/Park City Math. Ser. 1, 323--453 (1995; Zbl 0901.18002)
Woronowicz, S. L. Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups. (English) Zbl 0664.58044 Invent. Math. 93, No. 1, 35-76 (1988). MSC: 58H05 PDFBibTeX XMLCite \textit{S. L. Woronowicz}, Invent. Math. 93, No. 1, 35--76 (1988; Zbl 0664.58044) Full Text: DOI EuDML
Moerdijk, Ieke; Reyes, Gonzalo E. A smooth version of the Zariski topos. (English) Zbl 0648.18006 Adv. Math. 65, 229-253 (1987). Reviewer: L.Vaserstein MSC: 18B25 18D15 58A05 03H05 PDFBibTeX XMLCite \textit{I. Moerdijk} and \textit{G. E. Reyes}, Adv. Math. 65, 229--253 (1987; Zbl 0648.18006) Full Text: DOI Link
Kock, A.; Reyes, G. E. Corrigendum and addenda to the paper “Convenient vector spaces embed…”. (English) Zbl 0634.18007 Cah. Topologie Géom. Différ. Catég. 28, No. 2, 99-110 (1987). Reviewer: M.Bunge MSC: 18F15 18D15 58C99 18B25 PDFBibTeX XMLCite \textit{A. Kock} and \textit{G. E. Reyes}, Cah. Topologie Géom. Différ. Catégoriques 28, No. 2, 99--110 (1987; Zbl 0634.18007) Full Text: Numdam EuDML
Kock, Anders Erratum to “Convenient vector spaces embed into the Cahiers topos”. (English) Zbl 0601.18006 Cah. Topologie Géom. Différ. Catég. 27, No. 3, 23 (1986). MSC: 18F15 18D15 58C99 18B25 PDFBibTeX XMLCite \textit{A. Kock}, Cah. Topologie Géom. Différ. Catégoriques 27, No. 3, 23 (1986; Zbl 0601.18006) Full Text: Numdam EuDML
Kock, Anders Convenient vector spaces embed into the Cahiers topos. (English) Zbl 0596.18005 Cah. Topol. Géom. Différ. Catégoriques 27, No. 1, 3-17 (1986). Reviewer: M.Bunge MSC: 18F15 18D15 58C99 18B25 PDFBibTeX XMLCite \textit{A. Kock}, Cah. Topologie Géom. Différ. Catégoriques 27, No. 1, 3--17 (1986; Zbl 0596.18005) Full Text: Numdam EuDML
Michor, Peter A convenient setting for differential geometry and global analysis. II. (English) Zbl 0594.58011 Cah. Topol. Géom. Différ. Catégoriques 25, 113-178 (1984). Reviewer: G.F.Nassopoulos MSC: 58B10 18F15 53C22 18D15 58D15 PDFBibTeX XMLCite \textit{P. Michor}, Cah. Topologie Géom. Différ. Catégoriques 25, 113--178 (1984; Zbl 0594.58011) Full Text: Numdam EuDML
Kriegl, Andreas A Cartesian closed extension of the category of smooth Banach manifolds. (English) Zbl 0553.58001 Categorical topology, Proc. int. Conf., Toledo/Ohio 1983, Sigma Ser. Pure Math. 5, 323-336 (1984). Reviewer: P.Michor MSC: 58A05 58Bxx 18F15 18D15 PDFBibTeX XML
Froelicher, Alfred Smooth structures. (English) Zbl 0498.58004 Category theory. Applications to algebra, logic and topology, Proc. int. Conf., Gummersbach 1981, Lect. Notes Math. 962, 69-81 (1982). MSC: 58A40 58A99 18F15 18D15 18D10 PDFBibTeX XML
Seip, Ulrich A convenient setting for smooth manifolds. (English) Zbl 0463.58001 J. Pure Appl. Algebra 21, 279-305 (1981). MSC: 58A05 18D15 PDFBibTeX XMLCite \textit{U. Seip}, J. Pure Appl. Algebra 21, 279--305 (1981; Zbl 0463.58001) Full Text: DOI
Lawvere, F. William Toward the description in a smooth topos of the dynamically possible motions and deformations of a continuous body. (English) Zbl 0472.18009 Cah. Topol. Géom. Différ. 21, 377-392 (1980). MSC: 18F15 18B25 74Axx 18D15 03A05 58A10 PDFBibTeX XMLCite \textit{F. W. Lawvere}, Cah. Topologie Géom. Différ. Catégoriques 21, 377--392 (1980; Zbl 0472.18009) Full Text: Numdam EuDML