Publications
Preprints
B. Ćaćić and G. Noseworthy, The noncommutative Riemannian geometry of fuzzy tori (in preparation).
B. Ćaćić and T. V. Karthik, Euclidean Maxwell's equations on noncommutative Riemannian manifolds (in preparation).
B. Ćaćić, Geometric foundations for classical U(1)-gauge theory on noncommutative manifolds, 85 pp.
B. Ćaćić, Classical gauge theory on quantum principal bundles, 85 pp.
Publications
B. Ćaćić and B. Mesland, Gauge theory on noncommutative Riemannian principal bundles, Commun. Math. Phys. 388 (2021), 107–198.
B. Ćaćić, A reconstruction theorem for Connes–Landi deformations of commutative spectral triples, J. Geom. Phys. 98 (2015), 82–109.
B. Ćaćić, M. Marcolli, and K. Teh, Coupling of gravity to matter, spectral action and cosmic topology, J. Noncommut. Geom. 8 (2014), no. 2, 473–504.
B. Ćaćić, Real structures on almost-commutative spectral triples, Lett. Math. Phys. 103 (2013), no. 7, 793–816.
B. Ćaćić, A reconstruction theorem for almost-commutative spectral triples, Lett. Math. Phys. 100 (2012), no. 2, 181–202. (Errata incorporated into arXiv:1101.5908v4 [math-ph].)
B. Ćaćić, Moduli spaces of Dirac operators for finite spectral triples, in Quantum Groups and Noncommutative Spaces: Perspectives on Quantum Geometry (eds. M. Marcolli, D. Parashar), Vieweg Verlag, 2011, 9–68.