6 citations · 20 across the 8 of their papers we have counts for
10 papers
3-manifolds that bound no definite 4-manifold
Marco Golla, Kyle Larson
We produce a rational homology 3-sphere that does not smoothly bound either a positive or negative definite 4-manifold. Such a 3-manifold necessarily cannot be rational homology co…
Surgeries on torus knots, rational balls, and cabling
Paolo Aceto, Marco Golla, Kyle Larson +1
We classify which positive integral surgeries on positive torus knots bound rational homology balls. Additionally, for a given knot K we consider which cables K(p,q) admit integral…
Lattices and correction terms
Kyle Larson
Let L be a nonunimodular definite lattice. Using a theorem of Elkies we show that whether L embeds in the standard definite lattice of the same rank is completely determined by a c…
Linear independence in the rational homology cobordism group
Marco Golla, Kyle Larson
We give simple homological conditions for a rational homology 3-sphere Y to have infinite order in the rational homology cobordism group, and for a collection of rational homology…
Brieskorn spheres bounding rational balls
Selman Akbulut, Kyle Larson
Fintushel and Stern showed that the Brieskorn sphere bounds a rational homology ball, while its non-trivial Rokhlin invariant obstructs it from bounding an integral homo…
Embedding 3-manifolds in spin 4-manifolds
Paolo Aceto, Marco Golla, Kyle Larson
An invariant of orientable 3-manifolds is defined by taking the minimum such that a given 3-manifold embeds in the connected sum of copies of , and we call…
Knot concordance and homology sphere groups
Paolo Aceto, Kyle Larson
We study two homomorphisms to the rational homology sphere group. If denotes the inclusion homomorphism from the integral homology sphere group, then using work of Lisca we sho…
Surgery on tori in the 4-sphere
Kyle Larson
We investigate the operation of torus surgery on tori embedded in . Key questions include which 4-manifolds can be obtained in this way, and the uniqueness of such description…
Fibered ribbon disks
Kyle Larson, Jeffrey Meier
We study the relationship between fibered ribbon 1-knots and fibered ribbon 2-knots by studying fibered slice disks with handlebody fibers. We give a characterization of fibered ho…
Generic fibrations around multiple fibers
Kyle Larson
Given some type of fibration on a 4-manifold with a torus regular fiber , we may produce a new 4-manifold by performing torus surgery on . There is a natural way to…