Geodesic
Which circle bundles can be triangulated over~$\partial\Delta^3$?
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIX, Tome 468 (2018), pp. 75-81

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We prove that having the boundary of the standard three-dimensional simplex $\partial\Delta^3$ as the base of a triangulation, one can triangulate only trivial and Hopf circle bundles. 
@article{ZNSL_2018_468_a6,
     author = {N. E. Mn\"ev},
     title = {Which circle bundles can be triangulated over~$\partial\Delta^3$?},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {75--81},
     publisher = {mathdoc},
     volume = {468},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_468_a6/}
}
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N. E. Mnëv. Which circle bundles can be triangulated over~$\partial\Delta^3$?. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIX, Tome 468 (2018), pp. 75-81. http://geodesic.mathdoc.fr/item/ZNSL_2018_468_a6/