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Seminars

Sums of 4-manifolds, genus functions and their applications

Hold Date
2022-12-16 16:00〜2022-12-16 17:00
Place
D-414 IIMI conference room
Object person
 
Speaker
Kouichi Yasui (Osaka University)

Abstract: Connected sums and boundary sums are fundamental operations on 4-manifolds.In this talk, utilizing genus functions, I will give several applications ofthese operations and find a new phenomenon of smooth structures under theseoperations. More specifically, I plan to discuss 3-manifolds bounding exotic4-manifolds (arXiv:1111.0620), geometrically simply connected 4-manifolds(arXiv:1807.11453), mod 2 simple type conjecture (arXiv:2009.06791),and results announced therein.