OSU Mathematics Seminars and Colloquia
Calendar
Wed, Oct 28, 2020
Topology Seminar
3:45 PM
Virtual meeting
4-manifolds with small trisection genus
Roman Aranda, University of Iowa
Host: Neil Hoffman
Contact Neil Hoffman or Henry Segerman for the meeting link.
[Abstract] [PDF]
Abstract: In 2016, D. Gay and R. Kirby proved that every closed 4-manifold can be decomposed as the union of three 4-dimensional simple pieces with triple intersection a closed orientable surface of genus $g$. This decomposition is called a trisection of genus $g$ for $M$. In 2018, M. Chu and S. Tillmann gave a lower bound for the trisection genus of a closed 4-manifold in terms of the rank of its fundamental group. In this talk, we show that given a group $G$, there exists a 4-manifold M with fundamental group $G$ with trisection genus achieving Chu-Tillmann’s lower bound. The proof uses techniques of knot theory in simple 3-manifolds.
Automatically add seminars to your own calendar (e.g., Google Calendar) via an ical link.

List of links (urls) directly to a seminar series.

Return to Math Department Login Page

To add/edit talks, please log in on the department web page, then return to Announce.
Alternatively if you know the Announce username/password, click the link below:

Announce Seminar Calendar Login