Hannabuss, Keith C.; Mathai, Varghese; Thiang, Guo Chuan T-duality simplifies bulk-boundary correspondence: the noncommutative case. (English) Zbl 1395.58008 Lett. Math. Phys. 108, No. 5, 1163-1201 (2018). Reviewer: Igor V. Nikolaev (New York) MSC: 58B34 46L80 53D22 81V70 46L85 PDFBibTeX XMLCite \textit{K. C. Hannabuss} et al., Lett. Math. Phys. 108, No. 5, 1163--1201 (2018; Zbl 1395.58008) Full Text: DOI arXiv
Hannabuss, Keith C.; Mathai, Varghese; Thiang, Guo Chuan \(T\)-duality simplifies bulk-boundary correspondence: the parametrised case. (English) Zbl 1359.81181 Adv. Theor. Math. Phys. 20, No. 5, 1193-1226 (2016). MSC: 81V70 82D20 PDFBibTeX XMLCite \textit{K. C. Hannabuss} et al., Adv. Theor. Math. Phys. 20, No. 5, 1193--1226 (2016; Zbl 1359.81181) Full Text: DOI arXiv
Hannabuss, Keith C.; Mathai, Varghese Nonassociative strict deformation quantization of \(C^*\)-algebras and nonassociative torus bundles. (English) Zbl 1264.46049 Lett. Math. Phys. 102, No. 1, 107-123 (2012). MSC: 46L65 46L70 47L70 46M15 18D10 PDFBibTeX XMLCite \textit{K. C. Hannabuss} and \textit{V. Mathai}, Lett. Math. Phys. 102, No. 1, 107--123 (2012; Zbl 1264.46049) Full Text: DOI arXiv
Hannabuss, Keith C.; Mathai, Varghese Parametrized strict deformation quantization of \(C^{*}\)-bundles and Hilbert \(C^{*}\)-modules. (English) Zbl 1218.53093 J. Aust. Math. Soc. 90, No. 1, 25-38 (2011). MSC: 53D55 81S10 46L87 16D90 PDFBibTeX XMLCite \textit{K. C. Hannabuss} and \textit{V. Mathai}, J. Aust. Math. Soc. 90, No. 1, 25--38 (2011; Zbl 1218.53093) Full Text: DOI arXiv
Bouwknegt, Peter; Hannabuss, Keith C.; Mathai, Varghese \(C^*\)-algebras in tensor categories. (English) Zbl 1221.46073 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, 127-165 (2010). MSC: 46M15 46L70 47L70 18D10 46L08 46L55 22D35 46L85 PDFBibTeX XMLCite \textit{P. Bouwknegt} et al., Clay Math. Proc. 12, 127--165 (2010; Zbl 1221.46073) Full Text: arXiv
Hannabuss, Keith C.; Mathai, Varghese Noncommutative principal torus bundles via parametrised strict deformation quantization. (English) Zbl 1210.81062 Doran, Robert S. (ed.) et al., Superstrings, geometry, topology, and \(C^*\)-algebras. Collected papers based on the presentations at the NDF-CBMS regional conference on mathematics on topology, \(C^*\)-algebras, and string duality, Fort Worth, TX, USA, May 18–22, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4887-6/hbk). Proceedings of Symposia in Pure Mathematics 81, 133-147 (2010). MSC: 81S10 53D55 81R60 PDFBibTeX XMLCite \textit{K. C. Hannabuss} and \textit{V. Mathai}, Proc. Symp. Pure Math. 81, 133--147 (2010; Zbl 1210.81062) Full Text: arXiv
Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese Quantum Hall effect and noncommutative geometry. (English) Zbl 1104.81088 J. Geom. Symmetry Phys. 6, 16-37 (2006). MSC: 81V70 81T75 81R60 35R60 PDFBibTeX XMLCite \textit{A. L. Carey} et al., J. Geom. Symmetry Phys. 6, 16--37 (2006; Zbl 1104.81088) Full Text: arXiv
Bouwknegt, Peter; Hannabuss, Keith; Mathai, Varghese Nonassociative tori and applications to \(T\)-duality. (English) Zbl 1115.46063 Commun. Math. Phys. 264, No. 1, 41-69 (2006). MSC: 46L87 81R60 81T30 PDFBibTeX XMLCite \textit{P. Bouwknegt} et al., Commun. Math. Phys. 264, No. 1, 41--69 (2006; Zbl 1115.46063) Full Text: DOI arXiv
Bouwknegt, Peter; Hannabuss, Keith; Mathai, Varghese \(T\)-duality for principal torus bundles and dimensionally reduced Gysin sequences. (English) Zbl 1129.53013 Adv. Theor. Math. Phys. 9, No. 5, 749-773 (2005). MSC: 53C07 55N20 55R20 58B34 81T30 PDFBibTeX XMLCite \textit{P. Bouwknegt} et al., Adv. Theor. Math. Phys. 9, No. 5, 749--773 (2005; Zbl 1129.53013) Full Text: DOI arXiv
Carey, A.; Hannabuss, K.; Mathai, V. Quantum Hall effect on the hyperbolic plane in the presence of disorder. (English) Zbl 1055.81571 Lett. Math. Phys. 47, No. 3, 215-236 (1999). MSC: 81R60 81V70 19K56 58B34 58J42 46L60 PDFBibTeX XMLCite \textit{A. Carey} et al., Lett. Math. Phys. 47, No. 3, 215--236 (1999; Zbl 1055.81571) Full Text: DOI arXiv
Carey, A. L.; Hannabuss, K. C.; Mathai, V.; McCann, P. Quantum Hall effect on the hyperbolic plane. (English) Zbl 0916.46057 Commun. Math. Phys. 190, No. 3, 629-673 (1998). MSC: 46N50 46L80 46M20 81T70 PDFBibTeX XMLCite \textit{A. L. Carey} et al., Commun. Math. Phys. 190, No. 3, 629--673 (1998; Zbl 0916.46057) Full Text: DOI arXiv