Link Invariants, Holonomy Algebras and Functional Integration
| dc.creator | Baez, John C. | |
| dc.date | 1993-01-15 | |
| dc.date.accessioned | 2026-07-07T09:13:59Z | |
| dc.date.available | 2026-07-07T09:13:59Z | |
| dc.description | Given a principal G-bundle over a smooth manifold M, with G a compact Lie group, and given a finite-dimensional unitary representation of G, one may define an algebra of functions on the space of connections modulo gauge transformations, the ``holonomy Banach algebra'' H_b, by completing an algebra generated by regularized Wilson loops. Elements of the dual H_b* may be regarded as a substitute for measures on the space of connections modulo gauge transformations. There is a natural linear map from diffeomorphism- invariant elements of H_b* to the space of complex-valued ambient isotopy invariants of framed oriented links in M. Moreover, this map is one-to-one. Similar results hold for a C*-algebraic analog, the ``holonomy C*-algebra.'' These results clarify the relation between diffeomorphism-invariant gauge theories and link invariants, and the framing dependence of the expectation values of products of Wilson loops. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9301063 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9301063 | |
| dc.identifier | J.Funct.Anal. 127 (1995) 108-131 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152519 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Link Invariants, Holonomy Algebras and Functional Integration | |
| dc.type | text |