8 research outputs found
Trivializations of differential cocycles
Associated to a differential character is an integral cohomology class,
referred to as the characteristic class, and a closed differential form,
referred to as the curvature. The characteristic class and curvature are equal
in de Rham cohomology, and this is encoded in a commutative square. In the
Hopkins--Singer model, where differential characters are equivalence classes of
differential cocycles, there is a natural notion of trivializing a differential
cocycle. In this paper, we extend the notion of characteristic class,
curvature, and de Rham class to trivializations of differential cocycles. These
structures fit into a commutative square, and this square is a torsor for the
commutative square associated to characters with degree one less. Under the
correspondence between degree 2 differential cocycles and principal circle
bundles with connection, we recover familiar structures associated to global
sections.Comment: 20 pages; several minor corrections/revisions in v
The interaction of morphology and syntax in affix order
In this article, I propose a constraint-based account of ordering restrictions on subject agreement affixes. Different orderings of subject agreement, crosslin-guistically and in single languages, are captured by different rankings of uni-versal well-formedness constraints in the sense of Optimality Theory (OT