text: 428,17,1410050371502972930,1357124221009334272,David Jaz Myers,"I have a new paper, all about the relation between quantity and quality: Modal Fracture of Higher Groups. <LINK> … @SchreiberUrs’ differential cohomology hexagon done synthetically in Shulman’s cohesive HoTT, and classifiers for circle k-gerbes with connection. <LINK>",https://arxiv.org/abs/2106.15390,"In this paper, we examine the modal aspects of higher groups in Shulman's Cohesive Homotopy Type Theory. We show that every higher group sits within a modal fracture hexagon which renders it into its discrete, infinitesimal, and contractible components. This gives an unstable and synthetic construction of Schreiber's differential cohomology hexagon. As an example of this modal fracture hexagon, we recover the character diagram characterizing ordinary differential cohomology by its relation to its underlying integral cohomology and differential form data, although there is a subtle obstruction to generalizing the usual hexagon to higher types. Assuming the existence of a long exact sequence of differential form classifiers, we construct the classifiers for circle k-gerbes with connection and describe their modal fracture hexagon. ",Modal Fracture of Higher Groups,2,"['I have a new paper, all about the relation between quantity and quality: Modal Fracture of Higher Groups. <LINK> … @SchreiberUrs’ differential cohomology hexagon  done synthetically in Shulman’s cohesive HoTT, and classifiers for circle k-gerbes with connection.', 'https://t.co/f8SubGxVDL']",21,06,268