Christopher Scaduto

collaborators

3 papers

math.GT2020

Computing $ν$ -invariants of Joyce's compact $G_{2}$ -manifolds

Christopher Scaduto

Crowley and Nordström introduced an invariant of $G_{2}$ -structures on the tangent bundle of a closed 7-manifold, taking values in the integers modulo 48. Using the spectral descript…

math.DG2020

Associative submanifolds and gradient cycles

Simon Donaldson, Christopher Scaduto

We discuss a model for associative submanifolds in $G_{2}$ -manifolds with K3 fibrations, in the adiabatic limit. The model involves graphs in a 3-manifold whose edges are locally g…

math.GT2018

Niemeier lattices, smooth 4-manifolds and instantons

Christopher Scaduto

We show that the set of even positive definite lattices that arise from smooth, simply-connected 4-manifolds bounded by a fixed homology 3-sphere can depend on more than the ranks…

Computing ν-invariants of Joyce's compact G2​-manifolds

Associative submanifolds and gradient cycles

Niemeier lattices, smooth 4-manifolds and instantons

Computing $ν$ -invariants of Joyce's compact $G_{2}$ -manifolds