Dąbrowski, Ludwik; Sitarz, Andrzej; Zalecki, Paweł Spectral metric and Einstein functionals. (English) Zbl 07695600 Adv. Math. 427, Article ID 109128, 37 p. (2023). Reviewer: Yana Kinderknecht (Saarbrücken) MSC: 58B34 46L87 58J42 58J50 PDFBibTeX XMLCite \textit{L. Dąbrowski} et al., Adv. Math. 427, Article ID 109128, 37 p. (2023; Zbl 07695600) Full Text: DOI arXiv
Dąbrowski, Ludwik; Sitarz, Andrzej Spectral triples with multitwisted real structure. (English) Zbl 1498.58003 J. Noncommut. Geom. 16, No. 2, 625-635 (2022). MSC: 58B34 58B32 46L87 PDFBibTeX XMLCite \textit{L. Dąbrowski} and \textit{A. Sitarz}, J. Noncommut. Geom. 16, No. 2, 625--635 (2022; Zbl 1498.58003) Full Text: DOI arXiv
Dabrowski, Ludwik; Jakobsen, Mads S.; Landi, Giovanni; Luef, Franz Solitons of general topological charge over noncommutative tori. (English) Zbl 1523.42042 Rev. Math. Phys. 33, No. 4, Article ID 2150009, 30 p. (2021). MSC: 42C15 58B34 46L85 35C08 42B35 22D25 43A20 PDFBibTeX XMLCite \textit{L. Dabrowski} et al., Rev. Math. Phys. 33, No. 4, Article ID 2150009, 30 p. (2021; Zbl 1523.42042) Full Text: DOI arXiv
Magee, Adam M.; Dąbrowski, Ludwik Gauge transformations of spectral triples with twisted real structures. (English) Zbl 1472.81082 J. Math. Phys. 62, No. 8, Article ID 083502, 23 p. (2021). MSC: 81Q05 81R20 35P05 14D21 81V22 PDFBibTeX XMLCite \textit{A. M. Magee} and \textit{L. Dąbrowski}, J. Math. Phys. 62, No. 8, Article ID 083502, 23 p. (2021; Zbl 1472.81082) Full Text: DOI arXiv
Dąbrowski, Ludwik; D’Andrea, Francesco; Magee, Adam M. Twisted reality and the second-order condition. (English) Zbl 1473.58004 Math. Phys. Anal. Geom. 24, No. 2, Paper No. 13, 27 p. (2021). Reviewer: Tatsuki Seto (Tokyo) MSC: 58B34 46L87 PDFBibTeX XMLCite \textit{L. Dąbrowski} et al., Math. Phys. Anal. Geom. 24, No. 2, Paper No. 13, 27 p. (2021; Zbl 1473.58004) Full Text: DOI arXiv
Carotenuto, Alessandro; Dąbrowski, Ludwik Spin geometry of the rational noncommutative torus. (English) Zbl 1436.46058 J. Geom. Phys. 144, 28-42 (2019). Reviewer: Veronique Fischer (Bath) MSC: 46L85 58J42 46L87 58B34 PDFBibTeX XMLCite \textit{A. Carotenuto} and \textit{L. Dąbrowski}, J. Geom. Phys. 144, 28--42 (2019; Zbl 1436.46058) Full Text: DOI arXiv
Brzeziński, Tomasz; Dąbrowski, Ludwik; Sitarz, Andrzej On twisted reality conditions. (English) Zbl 1414.58008 Lett. Math. Phys. 109, No. 3, 643-659 (2019). Reviewer: Akira Asada (Takarazuka) MSC: 58B34 58B32 46L87 PDFBibTeX XMLCite \textit{T. Brzeziński} et al., Lett. Math. Phys. 109, No. 3, 643--659 (2019; Zbl 1414.58008) Full Text: DOI arXiv Link
Brzeziński, Tomasz; Ciccoli, Nicola; Dąbrowski, Ludwik; Sitarz, Andrzej Twisted reality condition for Dirac operators. (English) Zbl 1413.58002 Math. Phys. Anal. Geom. 19, No. 3, Paper No. 16, 11 p. (2016). MSC: 58B34 58B32 46L87 PDFBibTeX XMLCite \textit{T. Brzeziński} et al., Math. Phys. Anal. Geom. 19, No. 3, Paper No. 16, 11 p. (2016; Zbl 1413.58002) Full Text: DOI arXiv Link
D’Andrea, Francesco; Dąbrowski, Ludwik The standard model in noncommutative geometry and Morita equivalence. (English) Zbl 1355.46060 J. Noncommut. Geom. 10, No. 2, 551-578 (2016). Reviewer: Igor V. Nikolaev (New York) MSC: 46L85 PDFBibTeX XMLCite \textit{F. D'Andrea} and \textit{L. Dąbrowski}, J. Noncommut. Geom. 10, No. 2, 551--578 (2016; Zbl 1355.46060) Full Text: DOI arXiv
Dąbrowski, Ludwik Towards a noncommutative Brouwer fixed-point theorem. (English) Zbl 1380.58006 J. Geom. Phys. 105, 60-65 (2016). MSC: 58C30 58J42 PDFBibTeX XMLCite \textit{L. Dąbrowski}, J. Geom. Phys. 105, 60--65 (2016; Zbl 1380.58006) Full Text: DOI arXiv
Dabrowski, Ludwik; Landi, Giovanni; Luef, Franz Sigma-model solitons on noncommutative spaces. (English) Zbl 1336.46060 Lett. Math. Phys. 105, No. 12, 1663-1688 (2015). Reviewer: Igor V. Nikolaev (Sherbrooke) MSC: 46L85 58B34 PDFBibTeX XMLCite \textit{L. Dabrowski} et al., Lett. Math. Phys. 105, No. 12, 1663--1688 (2015; Zbl 1336.46060) Full Text: DOI arXiv
Dabrowski, Ludwik; Sitarz, Andrzej; Zucca, Alessandro Dirac operators on noncommutative principal circle bundles. (English) Zbl 1284.58015 Int. J. Geom. Methods Mod. Phys. 11, No. 1, Article ID 1450012, 29 p. (2014). MSC: 58J42 55R10 16T05 PDFBibTeX XMLCite \textit{L. Dabrowski} et al., Int. J. Geom. Methods Mod. Phys. 11, No. 1, Article ID 1450012, 29 p. (2014; Zbl 1284.58015) Full Text: DOI arXiv
Dąbrowski, Ludwik; Sitarz, Andrzej Curved noncommutative torus and Gauss-Bonnet. (English) Zbl 1285.58014 J. Math. Phys. 54, No. 1, 013518, 11 p. (2013). MSC: 58J52 58J37 81R60 PDFBibTeX XMLCite \textit{L. Dąbrowski} and \textit{A. Sitarz}, J. Math. Phys. 54, No. 1, 013518, 11 p. (2013; Zbl 1285.58014) Full Text: DOI arXiv
Dąbrowski, Ludwik; Dossena, Giacomo Product of real spectral triples. (English) Zbl 1245.58013 Int. J. Geom. Methods Mod. Phys. 8, No. 8, 1833-1848 (2011). Reviewer: Igor V. Nikolaev (Ottawa) MSC: 58J42 46L87 53C27 PDFBibTeX XMLCite \textit{L. Dąbrowski} and \textit{G. Dossena}, Int. J. Geom. Methods Mod. Phys. 8, No. 8, 1833--1848 (2011; Zbl 1245.58013) Full Text: DOI arXiv
Bhowmick, Jyotishman; D’Andrea, Francesco; Dąbrowski, Ludwik Quantum isometries of the finite noncommutative geometry of the standard model. (English) Zbl 1236.81191 Commun. Math. Phys. 307, No. 1, 101-131 (2011). Reviewer: Alexander V. Gemintern (Jerusalem) MSC: 81V22 81R60 81R05 PDFBibTeX XMLCite \textit{J. Bhowmick} et al., Commun. Math. Phys. 307, No. 1, 101--131 (2011; Zbl 1236.81191) Full Text: DOI arXiv
D’Andrea, Francesco; Dąbrowski, Ludwik Dirac operators on quantum projective spaces. (English) Zbl 1190.58011 Commun. Math. Phys. 295, No. 3, 731-790 (2010). Reviewer: Agostino Prástaro (Roma) MSC: 58B34 58J90 PDFBibTeX XMLCite \textit{F. D'Andrea} and \textit{L. Dąbrowski}, Commun. Math. Phys. 295, No. 3, 731--790 (2010; Zbl 1190.58011) Full Text: DOI arXiv
Dąbrowski, L. Spinors and theta deformations. (English) Zbl 1183.58004 Russ. J. Math. Phys. 16, No. 3, 404-408 (2009). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58B34 46L87 58B32 53C27 PDFBibTeX XMLCite \textit{L. Dąbrowski}, Russ. J. Math. Phys. 16, No. 3, 404--408 (2009; Zbl 1183.58004) Full Text: DOI arXiv
D’Andrea, Francesco; Dąbrowski, Ludwik; Landi, Giovanni The noncommutative geometry of the quantum projective plane. (English) Zbl 1155.81024 Rev. Math. Phys. 20, No. 8, 979-1006 (2008). MSC: 81R60 81R50 58B34 17B37 PDFBibTeX XMLCite \textit{F. D'Andrea} et al., Rev. Math. Phys. 20, No. 8, 979--1006 (2008; Zbl 1155.81024) Full Text: DOI arXiv
D’Andrea, Francesco; Dąbrowski, Ludwik; Landi, Giovanni The isospectral Dirac operator on the 4-dimensional orthogonal quantum sphere. (English) Zbl 1148.58015 Commun. Math. Phys. 279, No. 1, 77-116 (2008). Reviewer: Chun-Gil Park (Daejeon) MSC: 58J42 81R50 PDFBibTeX XMLCite \textit{F. D'Andrea} et al., Commun. Math. Phys. 279, No. 1, 77--116 (2008; Zbl 1148.58015) Full Text: DOI arXiv
D’andrea, Francesco; Dabrowski, Ludwik Local index formula on the equatorial Podleś sphere. (English) Zbl 1102.58013 Lett. Math. Phys. 75, No. 3, 235-254 (2006). MSC: 58J42 58B34 46L87 81R60 PDFBibTeX XMLCite \textit{F. D'andrea} and \textit{L. Dabrowski}, Lett. Math. Phys. 75, No. 3, 235--254 (2006; Zbl 1102.58013) Full Text: DOI arXiv
Dąbrowski, Ludwik Geometry of quantum spheres. (English) Zbl 1082.58026 J. Geom. Phys. 56, No. 1, 86-107 (2006). MSC: 58J42 17B37 20G42 58B32 58B34 81R60 PDFBibTeX XMLCite \textit{L. Dąbrowski}, J. Geom. Phys. 56, No. 1, 86--107 (2006; Zbl 1082.58026) Full Text: DOI arXiv
Dabrowski, Ludwik; Landi, Giovanni; Sitarz, Andrzej; van Suijlekom, Walter; Várilly, Joseph C. The Dirac operator on \(\text{SU}_{q}(2)\). (English) Zbl 1090.58504 Commun. Math. Phys. 259, No. 3, 729-759 (2005). Reviewer: Chun-Gil Park (Daejeon) MSC: 58J42 58B32 81R50 PDFBibTeX XMLCite \textit{L. Dabrowski} et al., Commun. Math. Phys. 259, No. 3, 729--759 (2005; Zbl 1090.58504) Full Text: DOI arXiv
Dąbrowski, Ludwik; Landi, Giovanni; Paschke, Mario; Sitarz, Andrzej The spectral geometry of the equatorial Podleś sphere. (English) Zbl 1072.58002 C. R., Math., Acad. Sci. Paris 340, No. 11, 819-822 (2005). Reviewer: Bernd Ammann (Vandœuvre-les-Nancy) MSC: 58B34 46L87 81R60 PDFBibTeX XMLCite \textit{L. Dąbrowski} et al., C. R., Math., Acad. Sci. Paris 340, No. 11, 819--822 (2005; Zbl 1072.58002) Full Text: DOI arXiv
Bonechi, F.; Ciccoli, N.; Dąbrowski, L.; Tarlini, M. Bijectivity of the canonical map for the non-commutative instanton bundle. (English) Zbl 1093.81039 J. Geom. Phys. 51, No. 1, 71-81 (2004). MSC: 81R50 58B34 16W30 58B32 81R60 17B37 PDFBibTeX XMLCite \textit{F. Bonechi} et al., J. Geom. Phys. 51, No. 1, 71--81 (2004; Zbl 1093.81039) Full Text: DOI arXiv
Dąbrowski, Ludwik; Landi, Giovanni Instanton algebras and quantum 4-spheres. (English) Zbl 1027.58005 Differ. Geom. Appl. 16, No. 3, 277-284 (2002). MSC: 58B34 81R60 PDFBibTeX XMLCite \textit{L. Dąbrowski} and \textit{G. Landi}, Differ. Geom. Appl. 16, No. 3, 277--284 (2002; Zbl 1027.58005) Full Text: DOI arXiv
Dąbrowski, Ludwik; Hajac, Piotr M.; Landi, Giovanni; Siniscalco, Pasquale Metrics and pairs of left and right connections on bimodules. (English) Zbl 0863.58004 J. Math. Phys. 37, No. 9, 4635-4646 (1996). MSC: 46L85 46L87 53C05 81R50 PDFBibTeX XMLCite \textit{L. Dąbrowski} et al., J. Math. Phys. 37, No. 9, 4635--4646 (1996; Zbl 0863.58004) Full Text: DOI arXiv
Dabrowski, Ludwik; Parashar, Preeti \(h\)-deformation of GL\((1| 1)\). (English) Zbl 0864.17022 Lett. Math. Phys. 38, No. 3, 331-336 (1996). Reviewer: Li Fang (Nanjing) MSC: 17B37 46L85 46L87 16W30 PDFBibTeX XMLCite \textit{L. Dabrowski} and \textit{P. Parashar}, Lett. Math. Phys. 38, No. 3, 331--336 (1996; Zbl 0864.17022) Full Text: DOI arXiv
Dabrowski, Ludwik; Sobczyk, Jan Left regular representation and contraction of \(\text{sl}_ q(2)\) to \(e_ q(2)\). (English) Zbl 0814.17011 Lett. Math. Phys. 32, No. 3, 249-258 (1994). Reviewer: E.Weimar-Woods (Berlin) MSC: 17B37 81R10 PDFBibTeX XMLCite \textit{L. Dabrowski} and \textit{J. Sobczyk}, Lett. Math. Phys. 32, No. 3, 249--258 (1994; Zbl 0814.17011) Full Text: DOI
Dąbrowski, L.; Dobrev, V. K.; Floreanini, R. \(q\)-difference intertwining operators for a Lorentz quantum algebra. (English) Zbl 0802.17011 J. Math. Phys. 35, No. 2, 971-985 (1994). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{L. Dąbrowski} et al., J. Math. Phys. 35, No. 2, 971--985 (1994; Zbl 0802.17011) Full Text: DOI
Benvegnù, S.; Dąbrowski, L. Relativistic point interaction. (English) Zbl 0788.47054 Lett. Math. Phys. 30, No. 2, 159-167 (1994). MSC: 47N50 81Uxx 47A40 PDFBibTeX XMLCite \textit{S. Benvegnù} and \textit{L. Dąbrowski}, Lett. Math. Phys. 30, No. 2, 159--167 (1994; Zbl 0788.47054) Full Text: DOI
Dabrowski, Ludwik; Trautman, Andrzej Spinor structures on spheres and projective spaces. (English) Zbl 0599.53030 J. Math. Phys. 27, 2022-2028 (1986). Reviewer: A.Crumeyrolle MSC: 53C15 53C27 15A66 81R10 PDFBibTeX XMLCite \textit{L. Dabrowski} and \textit{A. Trautman}, J. Math. Phys. 27, 2022--2028 (1986; Zbl 0599.53030) Full Text: DOI