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…