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 sito.
Vi aspettiamo!
Buona giornata,