Posted in
Speaker:
Selman Akbulut
Affiliation:
Michigan St. U/MPI
Date:
Mon, 30/04/2012 - 16:30 - 17:15
Location:
MPIM Lecture Hall
Parent event:
Geometric Topology Seminar After a general discussion about exotic structures on 4-manifolds, we will describe an algorithm X --> Xp,q of drawing the handlebody of a 4-manifold obtained by (p,q)-log transforms along parallel tori inside of a given 4-manifold X. From this, we will derive several interesting corollaries:
1- Find a simple handle picture of the Dolgachev surface E(1)p,q.
2- Construct infinitely many simple Stein manifolds which are exotic copies of each other.
3- Show that E(1)2,3 and E(1)3,4 admit handle decompositions without 1- and 3-handles.
4- Show that log transforms along tori do not change smooth structure of S^2 × S^2.
© MPI f. Mathematik, Bonn | Impressum & Datenschutz |