Curvature Grafted by Instantons

TL;DR

This paper introduces a new geometric operation called grafting, where high-charge instantons induce additional curvature on the space, revealing a novel link between instanton charge decay and geometric modification.

Contribution

It presents the concept of grafting as a surgery operation triggered by instantons, connecting gauge theory with geometric topology in a new way.

Findings

High-charge instantons induce extra curvature via grafting.

Grafting corresponds to a geometric surgery operation.

Curvature increases as instanton charge decays.

Abstract

We show that an instanton with high charge can provoke the creation of extra curvature on the space that holds it. Geometrically, this corresponds to a new surgery operation, which we name grafting. Curvature around a sphere increases by grafting when the charge of an instanton decays.