Add to ORKGWe prove a surface embedding theorem for 4-manifolds with good fundamental group in the presence of dual spheres, with no restriction on the normal bundles. The new obstruction is a Kervaire-Milnor invariant for surfaces and we give a combinatorial formula for its computation. For this we introduce the notion of band characteristic surfaces.Comment: 47 pages, 17 figures; in v2, we have added a new section (Section 1.5) containing applications to knot theor
In this paper we exhibit infinite families of embedded tori in 4-manifolds that are topologically is...
The big breakthrough in the classification of topological 4-manifolds certainly was Freedman’s proof...
AbstractFor a given smooth four-manifold we study the relation between the simple type condition for...
We study locally flat, compact, oriented surfaces in $4$-manifolds whose exteriors have infinite cyc...
We study locally flat, compact, oriented surfaces in 4-manifolds whose exteriors have infinite cycl...
AbstractWe obtain a new genus inequality for a topologically locally flat surface in a 4-dimensional...
this paper and its sequel [KrM] is to establish a lower bound for the genus of the surface, in terms...
One of the outstanding problems in four-dimensional topology is to find the minimal genus of an orie...
David Gabai recently proved a smooth 4-dimensional "Light Bulb Theorem" in the absence of 2-torsion ...
We provide three 3-dimensional characterizations of the Z-slice genus of a knot, the minimal genus o...
We study smooth, proper embeddings of noncompact surfaces in 4-manifolds, focusing on exotic planes ...
AbstractThe main theorem asserts that every 2-dimensional homology class of a compact simply connect...
The trace of $n$-framed surgery on a knot in $S^3$ is a 4-manifold homotopy equivalent to the 2-sphe...
We classify topological $4$-manifolds with boundary and fundamental group $\mathbb{Z}$, under some a...
The trace of the n-framed surgery on a knot in S3 is a 4-manifold homotopy equivalent to the 2-spher...
In this paper we exhibit infinite families of embedded tori in 4-manifolds that are topologically is...
The big breakthrough in the classification of topological 4-manifolds certainly was Freedman’s proof...
AbstractFor a given smooth four-manifold we study the relation between the simple type condition for...
We study locally flat, compact, oriented surfaces in $4$-manifolds whose exteriors have infinite cyc...
We study locally flat, compact, oriented surfaces in 4-manifolds whose exteriors have infinite cycl...
AbstractWe obtain a new genus inequality for a topologically locally flat surface in a 4-dimensional...
this paper and its sequel [KrM] is to establish a lower bound for the genus of the surface, in terms...
One of the outstanding problems in four-dimensional topology is to find the minimal genus of an orie...
David Gabai recently proved a smooth 4-dimensional "Light Bulb Theorem" in the absence of 2-torsion ...
We provide three 3-dimensional characterizations of the Z-slice genus of a knot, the minimal genus o...
We study smooth, proper embeddings of noncompact surfaces in 4-manifolds, focusing on exotic planes ...
AbstractThe main theorem asserts that every 2-dimensional homology class of a compact simply connect...
The trace of $n$-framed surgery on a knot in $S^3$ is a 4-manifold homotopy equivalent to the 2-sphe...
We classify topological $4$-manifolds with boundary and fundamental group $\mathbb{Z}$, under some a...
The trace of the n-framed surgery on a knot in S3 is a 4-manifold homotopy equivalent to the 2-spher...
In this paper we exhibit infinite families of embedded tori in 4-manifolds that are topologically is...
The big breakthrough in the classification of topological 4-manifolds certainly was Freedman’s proof...
AbstractFor a given smooth four-manifold we study the relation between the simple type condition for...