Event Detail

Event Type: 
Topology Seminar
Date/Time: 
Tuesday, May 3, 2011 - 05:00
Location: 
Kidder 358

Speaker Info

Local Speaker: 
Abstract: 
A spin structure on a manifold is a two-dimensional analogue  
to the "one-dimensional" notion of an orientation. As is the case for
orientability, not all manifolds admit spin structures. The ones that
do, so called "spin manifolds", have important topological and
geometric properties. In this talk, I will give a basic introduction
to the theory of spin manifolds and discuss some of the geometric
implications of being "spin".

Motivation: The question of what exactly is meant by "spin" was put to
one of my colleagues, by a student, at a recent conference. A debate
then ensued as to how to best explain the concept. This talk will be
my attempt.