26 sep 2019 -- 11:00
Aula 5 di Palazzo Campana,Torino
Abstract.
Berger's classification of the Riemannian holonomy contains two, closely related, `exceptional' holonomy groups G2 and Spin(7) which occur on, respectively, 7- and 8-dimensional manifolds. Riemannian manifolds with holonomy G2 and Spin(7) are Ricci-flat and admit parallel spinor fields. I will explain a construction of compact 8-manifolds with holonomy Spin(7) from pairs of asymptotically cylindrical Spin(7) manifolds with compatible cross-sections `at infinity'. Examples of the construction and their geometrical and topological properties will also be discussed.