text: 229,32,1032431626431746049,65137727,Jonathan Mboyo Esole,"My new paper on ""Characteristic numbers of elliptic fibrations with non-trivial Mordell-Weil groups"" in collaboration with Monica Kang is out! I would like to dedicate it to my students from @MalaikaDRC as they get ready for a new year. @NextEinsteinFor <LINK> <LINK>",https://arxiv.org/abs/1808.07054,"We compute characteristic numbers of elliptically fibered fourfolds with multisections or non-trivial Mordell-Weil groups. We first consider the models of type E$_{9-d}$ with $d=1,2,3,4$ whose generic fibers are normal elliptic curves of degree $d$. We then analyze the characteristic numbers of the $Q_7$-model, which provides a smooth model for elliptic fibrations of rank one and generalizes the E$_5$, E$_6$, and E$_7$-models. Finally, we examine the characteristic numbers of $G$-models with $G=\text{SO}(n)$ with $n=3,4,5,6$ and $G=\text{PSU}(3)$ whose Mordell-Weil groups are respectively $\mathbb{Z}/2\mathbb{Z}$ and $\mathbb{Z}/3 \mathbb{Z}$. In each case, we compute the Chern and Pontryagin numbers, the Euler characteristic, the holomorphic genera, the Todd-genus, the L-genus, the A-genus, and the eight-form curvature invariant from M-theory. ","Characteristic numbers of elliptic fibrations with non-trivial