15 citations · 15 across the 3 of their papers we have counts for
4 papers · 1 filter
Whitney towers and the Kontsevich integral
Rob Schneiderman, Peter Teichner
We continue to develop an obstruction theory for embedding 2-spheres into 4-manifolds in terms of Whitney towers. The proposed intersection invariants take values in certain graded…
Knots, von Neumann signatures, and grope cobordism
Peter Teichner
We explain new developments in classical knot theory in 3 and 4~dimensions, i.e. we study knots in 3-space, up to isotopy as well as up to concordance. In dimension~3 we give a geo…
On Knots with trivial Alexander polynomial
Stavros Garoufalidis, Peter Teichner
We use the 2-loop term of the Kontsevich integral to show that there are (many) knots with trivial Alexander polynomial which don't have a Seifert surface whose genus equals the ra…
Knot concordance, Whitney towers and L^2 signatures
Tim D. Cochran, Kent E. Orr, Peter Teichner
We construct many examples of non-slice knots in 3-space that cannot be distinguished from slice knots by previously known invariants. Using Whitney towers in place of embedded dis…