Itai Shafir, Technion
"On the Distance Between Homotopy Classes of S1-Valued Maps in multiply connected domains"
Certain Sobolev spaces of S1-valued functions can be written as a disjoint union of homotopy classes. The problem of finding the distance between different homotopy classes in such spaces is considered. In particular several types of one-dimensional and two-dimensional domains are studied. Lower bounds are derived for these distances. Furthermore, in many cases it is shown that the lower bounds are sharp but are not achieved.
This is a joint work with Jacob Rubinstein
TUESDAY, December 6, 2005