Groups of Flagged Homotopies and Higher Gauge Theory
| dc.creator | Dolotin, Valery V. | |
| dc.date | 1999-04-06 | |
| dc.date | 2001-02-15 | |
| dc.date.accessioned | 2026-07-07T05:28:37Z | |
| dc.date.available | 2026-07-07T05:28:37Z | |
| dc.description | Groups $Π_k(X;σ)$ of "flagged homotopies" are introduced of which the usual (abelian for $k>1$) homotopy groups $π_k(X;p)$ is the limit case for flags $σ$ contracted to a point $p$. Calculus of exterior forms with values in algebra $A$ is developped of which the limit cases are differential forms calculus (for $A=\bb R$) and gauge theory (for 1-forms). Moduli space of integrable forms with respect to higher gauge transforms (cohomology with coefficients in $A$) is introduced with elements giving representations of $Π_k$ in $G=exp A$. | |
| dc.description | 11 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/9904026 | |
| dc.identifier | http://arxiv.org/abs/math/9904026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78329 | |
| dc.subject | Geometric Topology | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Algebraic Topology | |
| dc.title | Groups of Flagged Homotopies and Higher Gauge Theory | |
| dc.type | text |