Romaidis, Iordanis; Runkel, Ingo Mapping class group representations and Morita classes of algebras. (English) Zbl 07799910 Quantum Topol. 14, No. 3, 429-465 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M20 16D90 57K20 57K16 PDFBibTeX XMLCite \textit{I. Romaidis} and \textit{I. Runkel}, Quantum Topol. 14, No. 3, 429--465 (2023; Zbl 07799910) Full Text: DOI arXiv
Novak, Sebastian; Runkel, Ingo Spin from defects in two-dimensional quantum field theory. (English) Zbl 1452.81158 J. Math. Phys. 61, No. 6, 063510, 24 p. (2020). MSC: 81T40 53C27 32B25 13A35 18M05 82B20 PDFBibTeX XMLCite \textit{S. Novak} and \textit{I. Runkel}, J. Math. Phys. 61, No. 6, 063510, 24 p. (2020; Zbl 1452.81158) Full Text: DOI arXiv
Runkel, Ingo String-net models for nonspherical pivotal fusion categories. (English) Zbl 1445.18013 J. Knot Theory Ramifications 29, No. 6, Article ID 2050035, 40 p. (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M20 57R15 57K20 81T45 PDFBibTeX XMLCite \textit{I. Runkel}, J. Knot Theory Ramifications 29, No. 6, Article ID 2050035, 40 p. (2020; Zbl 1445.18013) Full Text: DOI arXiv
Gainutdinov, Azat M.; Runkel, Ingo Projective objects and the modified trace in factorisable finite tensor categories. Proofs of lemma and corollary. Proofs of lemma and proposition. (English) Zbl 1445.18011 Compos. Math. 156, No. 4, 770-821 (2020). Reviewer: Burkhard Külshammer (Jena) MSC: 18M05 18M15 18G05 18F30 17B69 PDFBibTeX XMLCite \textit{A. M. Gainutdinov} and \textit{I. Runkel}, Compos. Math. 156, No. 4, 770--821 (2020; Zbl 1445.18011) Full Text: DOI arXiv
Carqueville, Nils; Runkel, Ingo; Schaumann, Gregor Line and surface defects in Reshetikhin-Turaev TQFT. (English) Zbl 1427.81153 Quantum Topol. 10, No. 3, 399-439 (2019). Reviewer: Akira Asada (Takarazuka) MSC: 81T45 18M20 57R56 13A35 PDFBibTeX XMLCite \textit{N. Carqueville} et al., Quantum Topol. 10, No. 3, 399--439 (2019; Zbl 1427.81153) Full Text: DOI arXiv
Farsad, V.; Gainutdinov, A. M.; Runkel, I. \(\mathrm{SL}(2, \mathbb{Z})\)-action for ribbon quasi-Hopf algebras. (English) Zbl 1403.16032 J. Algebra 522, 243-308 (2019). MSC: 16T20 16T05 18D10 PDFBibTeX XMLCite \textit{V. Farsad} et al., J. Algebra 522, 243--308 (2019; Zbl 1403.16032) Full Text: DOI arXiv
Carqueville, Nils; Runkel, Ingo Introductory lectures on topological quantum field theory. (English) Zbl 1401.18015 Carqueville, Nils (ed.) et al., Advanced school on topological quantum field theory. Selected papers based on the presentations at the advanced school, University of Warsaw, Warsaw, Poland, December 7–9, 2015. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-38-6/pbk). Banach Center Publications 114, 9-47 (2018). MSC: 18D05 57R56 PDFBibTeX XMLCite \textit{N. Carqueville} and \textit{I. Runkel}, Banach Cent. Publ. 114, 9--47 (2018; Zbl 1401.18015) Full Text: DOI arXiv
Davydov, Alexei; Ros Camacho, Ana; Runkel, Ingo \(N=2\) minimal conformal field theories and matrix bifactorisations of \(x^d\). (English) Zbl 1386.81132 Commun. Math. Phys. 357, No. 2, 597-629 (2018). MSC: 81T40 81T60 15A23 17B69 PDFBibTeX XMLCite \textit{A. Davydov} et al., Commun. Math. Phys. 357, No. 2, 597--629 (2018; Zbl 1386.81132) Full Text: DOI arXiv
Davydov, Alexei; Runkel, Ingo Holomorphic symplectic fermions. (English) Zbl 1423.17025 Math. Z. 285, No. 3-4, 967-1006 (2017). MSC: 17B69 18D10 PDFBibTeX XMLCite \textit{A. Davydov} and \textit{I. Runkel}, Math. Z. 285, No. 3--4, 967--1006 (2017; Zbl 1423.17025) Full Text: DOI arXiv
Carqueville, Nils; Ros Camacho, Ana; Runkel, Ingo Orbifold equivalent potentials. (English) Zbl 1333.18004 J. Pure Appl. Algebra 220, No. 2, 759-781 (2016). Reviewer: Augusto Stoffel (Notre Dame) MSC: 18D05 14B05 18E30 13D09 16G20 PDFBibTeX XMLCite \textit{N. Carqueville} et al., J. Pure Appl. Algebra 220, No. 2, 759--781 (2016; Zbl 1333.18004) Full Text: DOI arXiv Link
Novak, S.; Runkel, I. State sum construction of two-dimensional topological quantum field theories on spin surfaces. (English) Zbl 1320.57035 J. Knot Theory Ramifications 24, No. 5, Article ID 1550028, 84 p. (2015). Reviewer: Daniel Moskovich (Beer-Sheva) MSC: 57R56 57M50 53C27 81T45 PDFBibTeX XMLCite \textit{S. Novak} and \textit{I. Runkel}, J. Knot Theory Ramifications 24, No. 5, Article ID 1550028, 84 p. (2015; Zbl 1320.57035) Full Text: DOI arXiv
Bücher, David; Runkel, Ingo Integrable perturbations of conformal field theories and Yetter-Drinfeld modules. (English) Zbl 1442.81058 J. Math. Phys. 55, No. 11, 111705, 49 p. (2014). MSC: 81T40 81T15 81R05 81R50 11G09 16T05 PDFBibTeX XMLCite \textit{D. Bücher} and \textit{I. Runkel}, J. Math. Phys. 55, No. 11, 111705, 49 p. (2014; Zbl 1442.81058) Full Text: DOI arXiv
Runkel, Ingo A braided monoidal category for free super-bosons. (English) Zbl 1405.81138 J. Math. Phys. 55, No. 4, 041702, 59 p. (2014). MSC: 81T40 81T60 17A70 81R25 14D21 18D10 PDFBibTeX XMLCite \textit{I. Runkel}, J. Math. Phys. 55, No. 4, 041702, 59 p. (2014; Zbl 1405.81138) Full Text: DOI arXiv
Kong, Liang; Li, Qin; Runkel, Ingo Cardy algebras and sewing constraints. II. (English) Zbl 1301.81254 Adv. Math. 262, 604-681 (2014). Reviewer: Gert Roepstorff (Aachen) MSC: 81T40 81T05 PDFBibTeX XMLCite \textit{L. Kong} et al., Adv. Math. 262, 604--681 (2014; Zbl 1301.81254) Full Text: DOI arXiv
Davydov, Alexei; Runkel, Ingo \(\mathbb Z/2\mathbb Z\)-extensions of Hopf algebra module categories by their base categories. (English) Zbl 1328.18009 Adv. Math. 247, 192-265 (2013). Reviewer: Daniel Bulacu (Bucharest) MSC: 18D10 16T05 PDFBibTeX XMLCite \textit{A. Davydov} and \textit{I. Runkel}, Adv. Math. 247, 192--265 (2013; Zbl 1328.18009) Full Text: DOI arXiv
Manolopoulos, Dimitrios; Runkel, Ingo A monoidal category for perturbed defects in conformal field theory. (English) Zbl 1206.81115 Commun. Math. Phys. 295, No. 2, 327-362 (2010). Reviewer: Alexei Davydov (Bonn) MSC: 81T40 18D10 18F30 81R12 PDFBibTeX XMLCite \textit{D. Manolopoulos} and \textit{I. Runkel}, Commun. Math. Phys. 295, No. 2, 327--362 (2010; Zbl 1206.81115) Full Text: DOI arXiv
Kong, Liang; Runkel, Ingo Cardy algebras and sewing constraints. I. (English) Zbl 1214.81251 Commun. Math. Phys. 292, No. 3, 871-912 (2009). Reviewer: Gert Roepstorff (Aachen) MSC: 81T40 81T10 81T45 PDFBibTeX XMLCite \textit{L. Kong} and \textit{I. Runkel}, Commun. Math. Phys. 292, No. 3, 871--912 (2009; Zbl 1214.81251) Full Text: DOI arXiv
Kong, Liang; Runkel, Ingo Morita classes of algebras in modular tensor categories. (English) Zbl 1156.18003 Adv. Math. 219, No. 5, 1548-1576 (2008). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D50 81T40 PDFBibTeX XMLCite \textit{L. Kong} and \textit{I. Runkel}, Adv. Math. 219, No. 5, 1548--1576 (2008; Zbl 1156.18003) Full Text: DOI arXiv
Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph Correspondences of ribbon categories. (English) Zbl 1087.18006 Adv. Math. 199, No. 1, 192-329 (2006). Reviewer: Ross H. Street (North Ryde) MSC: 18D10 81R10 81R50 81T40 PDFBibTeX XMLCite \textit{J. Fröhlich} et al., Adv. Math. 199, No. 1, 192--329 (2006; Zbl 1087.18006) Full Text: DOI arXiv
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph TFT construction of RCFT correlators. IV: Structure constants and correlation functions. (English) Zbl 1151.81384 Nucl. Phys., B 715, No. 3, 539-638 (2005). MSC: 81T40 18D10 57R56 81R10 81T45 PDFBibTeX XMLCite \textit{J. Fuchs} et al., Nucl. Phys., B 715, No. 3, 539--638 (2005; Zbl 1151.81384) Full Text: DOI arXiv
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph TFT construction of RCFT correlators. II: Unoriented world sheets. (English) Zbl 1097.81736 Nucl. Phys., B 678, No. 3, 511-637 (2004). MSC: 81T40 81T05 81T45 PDFBibTeX XMLCite \textit{J. Fuchs} et al., Nucl. Phys., B 678, No. 3, 511--637 (2004; Zbl 1097.81736) Full Text: DOI arXiv
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph TFT construction of RCFT correlators. I: Partition functions. (English) Zbl 0999.81079 Nucl. Phys., B 646, No. 3, 353-497 (2002). MSC: 81T40 81T05 PDFBibTeX XMLCite \textit{J. Fuchs} et al., Nucl. Phys., B 646, No. 3, 353--497 (2002; Zbl 0999.81079) Full Text: DOI arXiv
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph Conformal correlation functions, Frobenius algebras and triangulations. (English) Zbl 0985.81113 Nucl. Phys., B 624, No. 3, 452-468 (2002). MSC: 81T40 81T05 81T45 PDFBibTeX XMLCite \textit{J. Fuchs} et al., Nucl. Phys., B 624, No. 3, 452--468 (2002; Zbl 0985.81113) Full Text: DOI arXiv