Quillen superconnections and connections on supermanifolds

J. V. Beltrán, J. Monterde, J. A. Vallejo

Given a supervector bundle $E=E_0\oplus E_1\to M$, we exhibit a parametrization of Quillen superconnections on $E$ by graded connections on the Cartan-Koszul supermanifold $(M;Ω…