Ostatnie publikacje:

L. Dąbrowski, A. Sitarz, P. Zalecki, Spectral Torsion, arXiv:2308.01644 L. Dąbrowski, A. Sitarz, P. Zalecki, Spectral Metric and Einstein Functionals for Hodge-Dirac operator, arXiv:2307.14877 A. Bochniak, A. Sitarz, Spectral interactions between strings in the Higgs background, Eur. Phys. J. Spec. Top. (2023), https://doi.org/10.1140/epjs/s11734-023-00832-6 L. Dąbrowski, A. Sitarz, P. Zalecki, Spectral Metric and Einstein Functionals, Advances in Mathematics, Vol. 427, 109128, free full article (until 26.07.2023) A. Bochniak, A. Sitarz, Spectral interaction between universes, Journal of Cosmology and Astroparticle Physics 04 (2022) 055 R. Bistron, A. Sitarz, Braided symmetries of SU_q,\phi(2) and Podleś Spheres, arXiv:2109.14605 A. Bochniak, A. Sitarz, P.Zalecki, Spectral action and the electroweak θ-terms for the Standard Model without fermion doubling, JHEP 2021, Article number: 142 (2021) A. Bochniak, A. Sitarz, On stability of Friedmann-Lemaître-Robertson-Walker solutions in doubled geometries, Phys. Rev. D 103, (2021) 044041 A. Bochniak, A. Sitarz, P.Zalecki, Riemannian Geometry of a Discretized Circle and Torus, SIGMA 16 (2020), 143, 28 pages A. Bochniak, A. Sitarz, A spectral geometry for the Standard Model without the fermion doubling Phys. Rev. D 101, 075038 L. Dąbrowski, A. Sitarz, Multitwisted real spectral triples, J. Noncommut. Geom. 16 (2022), no. 2, pp. 625–635 A. Sitarz, On almost commutative Friedmann-Lemaitre-Robertson-Walker geometries Class.Quant.Grav. 36, 19 (2019) M. Sakellariadou, A. Sitarz, Fermionic spectral action and the origin of nonzero neutrino masses, Phys.Lett.B, 795, 351-355 (2019) L. Dabrowski, A. Sitarz, Fermion masses, mass-mixing and the almost commutative geometry of the Standard Model, J. High Energ. Phys. (2019) 2019: 68. T. Brzezinski, L. Dabrowski, A. Sitarz, On twisted reality conditions, Lett Math Phys (2019) 109: 643. A. Bochniak, A.Sitarz, Finite Pseudo-Riemannian Spectral Triples and The Standard Model Phys. Rev. D 97, 115029 (2018), arXiv:1804.09482 M. Khalkhali, A. Sitarz, Gauss-Bonnet for matrix conformally rescaled Dirac, J. Math. Phys. 59, 063505 (2018) L. Dąbrowski, F. D'Andrea, A. Sitarz, The Standard Model in noncommutative geometry: fundamental fermions as internal forms, Lett Math Phys (2018) 108: 1323 A. Bochniak, A.Sitarz, Braided Hopf algebras from twisting, Journal of Algebra and Its Applications, DOI:10.1142/S0219498819501780 L. Dąbrowski, A. Sitarz, Twisted reality condition for spectral triple on two points, (Proceedings of the Corfu Summer Institute 2015 "School and Workshops on Elementary Particle Physics and Gravity" PoS(CORFU2015)093 A. Sitarz, On the Gauss-Bonnet for the quasi-Dirac operators on the sphere ,  Demonstratio Mathematica 50, 1, (2017) T. Brzeziński, N. Ciccola, L. Dąbrowski, A. Sitarz, Twisted reality condition for Dirac operators,  Math Phys Anal Geom (2016) 19: 16 M. Eckstein, A. Sitarz, R. Wulkenhaar, The Moyal Sphere, Journal of Mathematical Physics 57, 112301 (2016) A. Sitarz,  Conformally rescaled noncommutative geometries, in: Geometric Methods in Physics, Trends in Mathematics, Springer 2015 T. Brzeziński, A. Sitarz, Smooth geometry of the noncommutative pillow, cones and lens spaces,  J. Noncommut. Geom. 11 (2017), 413-449. doi: 10.4171/JNCG/11-2-1 Ludwik Dabrowski, Andrzej Sitarz, Asymmetric noncommutative torus, SIGMA 11 (2015) 075-086, doi: 10.3842/SIGMA.2015.075 A. Sitarz, Jan-Jitse Venselaar, Real spectral triples on 3-dimensional noncommutative lens spaces,  Mathematical Physics, Analysis and Geometry March 2015, 18:9 A. Sitarz, Pointless Geometry, in: Mathematical Structures of the Universe, Copernicus Center Press, ISBN: 978-83-7886-107-2, Copernicus Center Press (2014)  M. Eckstein, B. Iochum, A. Sitarz, Heat trace and spectral action on the standard Podles sphere, Comm.Math.Phys. 332, 627–668 (2014) A. Sitarz, Wodzicki residue and minimal operators on a noncommutative 4-dimensional torus, Journal of Pseudo-Differential Operators and Applications, Volume 5, Issue 3, pp 305-317 (2014) L. Dąbrowski, A. Sitarz, A. Zucca, Dirac operator on noncommutative principal circle bundles, Int. J. Geom. Methods Mod. Phys. 11, 1450012 (2014) P. Olczykowski, A. Sitarz, Real Spectral Triples over Noncommutative Bieberbach Manifolds, J.Geom.Phys. 73, 2013, 91–103  A. Sitarz, A Friendly Overview Of Noncommutative Geometry, Acta Phys.Pol. B Vol. 44 12 (2013)  A. Sitarz, On Hopf-Cyclic Cohomology and Cuntz Algebra, ISRN Algebra, vol. 2013, Article ID 793637, (2013) A. Sitarz, Causality and Noncommutativity, in: The Causal Universe, ISBN: 978-83-7886-034-1, Eds: George F. R. Ellis, Michał Heller, Tadeusz Pabjan, Copernicus Center Press (2013) P. Olczykowski, A. Sitarz, K-theory of noncommutative Bieberbach manifolds, Russian Journal of Mathematical Physics, 2015, Volume 22, Issue 3, pp 389–399 B. Iochum, T. Masson, A. Sitarz, κ-deformation, affine group and spectral triples, Banach Center Publ. 98 (2012), 261-291 L. Dabrowski, A. Sitarz, Curved noncommutative torus and Gauss-Bonnet, J. Math. Phys. 54, 013518 (2013) L. Dąbrowski, A. Sitarz, Noncommutative circle bundles and new Dirac operators, Comm.Math.Phys, 318, 1, 111-130 (2013) A. Sitarz, On the geometry of κ-deformation, International Journal of Geometric Methods in Modern Physics, Vol. 9, No. 6 (2012) 1261011 A. Rennie, A. Sitarz, M. Yamashita, Twisted cyclic cohomology and modular Fredholm modules, SIGMA 9 (2013), 051, 15 pages B. Iochum, T. Masson, T. Schücker, A. Sitarz, kappa-Deformation and Spectral Triples Acta Phys.Polon.Supp.4,3,305,2011 F. Mercati, A. Sitarz, Kappa-Minkowski differential calculi and star product arXiv:1105.1599v1, Published in Proceedings of Science CNCFG2010:030,2010. B. Durhuus, A. Sitarz, Star product realizations of kappa-Minkowski space Journal of Noncommutative Geometry, Volume 7, Issue 3, 2013, pp. 605–645 A. Sitarz, A. Zając, Spectral action for scalar perturbations of Dirac operators , Lett.Math.Phys. 98,3,333-348,2011 P. Olczykowski, A. Sitarz, On spectral action over Bieberbach manifolds, Acta Phys.Pol. 42, 6, 1189, 2011 B. Iochum, T. Masson, T. Schücker, A. Sitarz, Compact kappa-deformation and spectral triples, Rep.Math.Phys. 68,1,(2011) 37-64 A.Sitarz, Spectral action and neutrino mass, European Physics Letters, 86 (2009) 10007 B.Iochum, C.Levy, A.Sitarz, Spectral action on SUq(2), Commun. Math. Phys. 289, (2009) 107-155 A.Sitarz, 3 1/2 Lectures on Noncommutative Geometry, Acta Polytechnica Vol. 48, No. 2 (2008), 34-55 D.Essouabri, B.Iochum, C.Levy, A.Sitarz, Spectral action on noncommutative torus, Journal of Noncommutative Geometry, Vol. 2, 1, 2008, pp. 53-123 A. Sitarz, Twisted Dirac operators over quantum spheres, J.Math.Phys, 49, 0335092008 M. Paschke, A. Sitarz, Equivariant Lorentzian Spectral Triples, math-ph/ArXiv:0611029 A. Sitarz, Quasi-Dirac Operators and Quasi-Fermions, J. Phys. A: Math. Theor. 42 (2009) 155201. A.Sitarz, On matrix type corings, algebra coverings and Cech cohomology, International Journal of Geometric Methods in Modern Physics, Vol. 4, No. 7 (2007) 1099-1105 A. Sitarz, Spectral Geometry: case of quantum spheres, African Journal Of Mathematical Physics, Vol. 3 No 1, 49-54, (2006) M. Paschke, A. Sitarz, On Spin Structures and Dirac Operators on the Noncommutative Torus, Lett.Math.Phys 77, 3, 317-327 (2006) A. Sitarz, Twisted Hochschild Homology of Quantum Hyperplanes, K-Theory 35, 1-2 (2005) L. Dąbrowski, G. Landi, A. Sitarz, W. van Suijlekom and J.C. Varilly, The local index formula for SUq(2), K-Theory, 35, 3, 375-394 (2005) L. Dąbrowski, G. Landi, M. Paschke, A. Sitarz, The spectral geometry of the equatorial Podles sphere., C. R., Math., Acad. Sci. Paris 340, No.11, 819-822 (2005) L. Dąbrowski, G. Landi, A. Sitarz, W. van Suijlekom and J.C. Varilly, The Dirac operator on SUq(2), Comm. Math. Phys. 259 (2005), 729-759, (2004)