Lattice Gauge Field Theory and Prismatic Sets

Simple item page
dc.creatorAkyar, Bedia
dc.creatorDupont, Johan L.
dc.date2008-07-31
dc.date.accessioned2026-07-07T09:54:01Z
dc.date.available2026-07-07T09:54:01Z
dc.descriptionWe study prismatics sets analogously to simplical sets except that realization involves prisms, i.e., products of simplices rather than just simplices. Particular examples are the prismatic subdivision of a simplicial set S and the prismatic star of S. Both have the same homotopy type as S and in particular the latter we use to study lattice gauge theory in the sense of Phillips and Stone. Thus for a Lie group G and a set of parallel transport functions defining the transition over faces of the simplices, we define a classifying map from the prismatic star to a prismatic version of the classifying space of G. In turn this defines a G-bundle over the prismatic star.
dc.identifierhttps://arxiv.org/abs/0807.5090
dc.identifierhttp://arxiv.org/abs/0807.5090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166162
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject55U010; 55P10; 55R10; 55R37; 55P65; 14H81
dc.titleLattice Gauge Field Theory and Prismatic Sets
dc.typetext

Files

Collections

arXiv