giovedi' 16-03-2006 (15:00) - Sala Seminari Andras I. Stipicz (Renyi Institute, Budapest) : Rational blow-down and small exotic 4-manifolds

Argomento: Geometria

Abstract: It is known that most simply connected 4-manifolds admit infinitely many "exotic" smooth structures, but the existence of such structures is still unknown for S^4 and CP^2. We report on the current state of art of exotic structures on rational surfaces, and review how such structures can be constructed. The main ingredients are the rational blow-down process and the computation of appropriate Seiberg-Witten invariants. We also discuss the classification of plumbing trees which can be symplectically blown down.

Segreteria Didattica Giulia Curciarello tel- 050 2213219

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