activity
20132026
most citedKnot cobordisms, bridge index, and torsion in Floer homology

22 citations · 100 across the 28 of their papers we have counts for

collaborators
Showing 2019Show all

8 papers · 1 filter

math.GT2019★ 2 cited

Concordance of Surfaces and the Freedman-Quinn Invariant

Michael R. Klug, Maggie Miller

We prove a concordance version of the 4-dimensional light bulb theorem for -negligible compact orientable surfaces, where there is a framed but not necessarily embedded dual s…

math.GT2019★ 10 cited

The relative -invariant of a compact -manifold

Nickolas A. Castro, Gabriel Islambouli, Maggie Miller +1

In this paper, we introduce the relative -invariant of a smooth, orientable, compact 4-manifold with boundary. This invariant is defined by measu…

math.GT2019★ 2 cited

The 0-concordance monoid admits an infinite linearly independent set

Irving Dai, Maggie Miller

Under the relation of -concordance, the set of knotted 2-spheres in forms a commutative monoid with the operation of connected sum. Sunukjian has recently…

math.GT2019

The effect of link Dehn surgery on the Thurston norm

Maggie Miller

Let be an -component link () with pairwise nonzero linking numbers in a rational homology -sphere . Assume the link complement has nondegenera…

math.GT2019

Trisections of 5-manifolds

Peter Lambert-Cole, Maggie Miller

Gay and Kirby introduced the notion of a trisection of a smooth 4-manifold, which is a decomposition of the 4-manifold into three elementary pieces. Rubinstein and Tillmann later e…

math.GT2019★ 22 cited

Knot cobordisms, bridge index, and torsion in Floer homology

András Juhász, Maggie Miller, Ian Zemke

Given a connected cobordism between two knots in the 3-sphere, our main result is an inequality involving torsion orders of the knot Floer homology of the knots, and the number of…

math.GT2019★ 3 cited

A concordance analogue of the -dimensional light bulb theorem

Maggie Miller

We prove a concordance analogue of Gabai's -dimensional light bulb theorem. That is, we show that when and are homotopically (smoothly) embedded -spheres in a -ma…

math.GT2019

Knot Floer homology and strongly homotopy-ribbon concordances

Maggie Miller, Ian Zemke

We prove that the map on knot Floer homology induced by a strongly homotopy-ribbon concordance is injective.