2 papers
math.DG2020
Linear generalised complex structures
Malte Heuer, Madeleine Jotz Lean
This paper studies linear generalised complex structures over vector bundles, as a generalised geometry version of holomorphic vector bundles. In an adapted linear splitting, a lin…
math.DG2018
Multiple vector bundles: cores, splittings and decompositions
Malte Heuer, Madeleine Jotz Lean
This paper introduces - and -fold vector bundles as special functors from the - and -cube categories to the category of smooth manifolds. We study the cores a…