4:00 pm Thursday, February 17, 2011
Colloquium: Decision problems about higher-dimensional knot groups
by Cameron Gordon in HB 227
Abstract: An $n$-knot is an embedding of the $n$-sphere in the $(n+2)$-sphere, and the corresponding $n$-knot group is the fundamental group of its complement. In contrast to the classical case $n = 1$, we show that many decision problems about the class of $n$-knot groups, $n \ge 3$, (as well as certain classes of groups of other kinds of codimension 2 embeddings) are unsolvable. We also pose some open questions about the class of 2-knot groups, which is still not well understood. (This is joint work with F. Gonz\'alez-Acu\~na and J. Simon.) Host Department: Rice University-Mathematics
Submitted by dani@rice.edu |
