cherubino

An exotic structure on a non-orientable 4-manifold via Gluck twisting – Valentina Bais (SISSA)

Venue

Aula Magna - Dipartimento di Matematica

Abstract

In this talk I will talk about a joint work with Rafael Torres, in which we create an exotic smooth structure on the total space of the non-trivial and non-orientable 2-sphere bundle over the real projective plane, where by “exotic smooth structure” we mean not equivalent to the standard one. Our procedure mimics Cappell-Shaneson’s construction of an exotic real projective 4-dimensional space, which I will sketch at the beginning of the talk as a warm up. The exotic structure we produce can also be obtained by applying a cut and paste procedure called Gluck twist to the total space of the trivial 2-sphere bundle over the real projective plane.

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