[Binghamton Geometry/Topology Seminar] September 16

[Lucas Sabalka]

Dear all:  Below is the announcement for the first Binghamton Geometry and
Topology Seminar of the semester.  If you (including grad students!) wish to
receive further email announcements, please sign up for the Binghamton
Geometry/Topology Seminar Listserve, at
http://www1.math.binghamton.edu/mailman/listinfo/topsem (and apologies if
you get this email twice).



Date: Thursday, September 16, 2010

Time: 2:50–3:50 pm

Place: Library North 2205
(followed by coffee/tea in the Anderson Reading Room)

Speaker: Hee Jung Kim (Binghamton University)

Title:  Twist-rim surgery and surfaces in 4-manifolds

Abstract:  In this talk, I will introduce a surgery operation referred to as
'twist-rim surgery' to change embeddings of surfaces in 4-manifolds. This
surgery is a modification of the rim surgery introduced by Fintushel-Stern
and provides 'exotic' knotted surfaces in a 4-manifold: surfaces whose
embeddings are homeomorphic but not diffeomorphic.  Twist-rim surgery has
been applied to knotting algebraic curves in CP^2 and led to solve the
problem 4.110 in the classic Kirby Problem List, namely finding surfaces
in CP^2 that are homologous to smooth algebraic curves (called degree
d-curve),but are not smoothly  isotopic to them.
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