For simply-connected 4-manifolds, it is known that all exotic structures become diffeomorphic after taking finitely many stabilizations, i.e. taking a connected sum with S2 X S2 In this talk, we construct a first example of a cork which does not trivialize after one stabilization, Combined with a work of Akbulut-Ruberman, this implies the existence of an exotic pair of contractible 4-manifolds which remains absolutely exotic after one stabilization.

일시: 11월 1일 (화) 16:00-16:30
장소: 129동 101호 /