45 citations · 104 across the 18 of their papers we have counts for
4 papers · 1 filter
Computing -invariants of Joyce's compact -manifolds
Christopher Scaduto
Crowley and Nordström introduced an invariant of -structures on the tangent bundle of a closed 7-manifold, taking values in the integers modulo 48. Using the spectral descript…
Chern-Simons functional, singular instantons, and the four-dimensional clasp number
Aliakbar Daemi, Christopher Scaduto
Kronheimer and Mrowka asked whether the difference between the four-dimensional clasp number and the slice genus can be arbitrarily large. This question is answered affirmatively b…
Associative submanifolds and gradient cycles
Simon Donaldson, Christopher Scaduto
We discuss a model for associative submanifolds in -manifolds with K3 fibrations, in the adiabatic limit. The model involves graphs in a 3-manifold whose edges are locally g…
Framed instanton homology of surgeries on L-space knots
Tye Lidman, Juanita Pinzon-Caicedo, Christopher Scaduto
An important class of three-manifolds are L-spaces, which are rational homology spheres with the smallest possible Floer homology. For knots with an instanton L-space surgery, we c…