Carə tuttə,
Giovedì 9 Novembre alle 14.30 in Aula Seminari si terrà il seminario di Hironobu Naoe (Chuo University) dal titolo "Shadow-complexity and trisection genus". Di seguito l'abstract.
A shadow of a closed 4-manifold is a 2-complex suitably embedded in the 4-manifold, which can be treated as a combinatorial description of 4-manifolds. An invariant, called the shadow-complexity, of 4-manifolds is defined by counting certain vertices in shadows. On the other hand, a trisection is a decomposition of a 4-manifold into three handlebodies, and the intersection of the three handlebodies forms an orientable surface called the trisection surface. The trisection genus of a 4-manifold is defined as the minimum genus of all trisection surfaces. In this talk, we introduce a refined version of the shadow-complexity and give an inequality between the complexity and the trisection genus. Furthermore, we determine the complexity we introduced for some 4-manifolds. This is joint work with Masaki Ogawa.
Ci troveremo alle 13 in atrio per andare a pranzo con Hironobu.
Le informazioni sui prossimi seminari si trovano sul sitohttps://www.dm.unipi.it/categoria-evento/geometry-seminar/.
Vi aspettiamo! Buona giornata,
Filippo, Giovanni e Giuseppe