3 papers
math.DG2024
Conically singular Cayley submanifolds III: Fibrations
Gilles Englebert
This is the third and last in a series of papers working towards the construction of non-trivial Cayley fibrations using gluing methods. In this paper we will show two stability re…
math.DG2023
Conically singular Cayley submanifolds II: Desingularisations
Gilles Englebert
This is the second in a series of three papers working towards constructing fibrations of compact Spin(7) manifolds by Cayley submanifolds. In this paper we show that a conically s…
math.DG2023
Conically singular Cayley submanifolds I: Deformations
Gilles Englebert
This is the first in a series of three papers working towards constructing fibrations of compact Spin(7) manifolds by Cayley submanifolds. In this paper we describe the deformation…