Physics – High Energy Physics – High Energy Physics - Theory
21+1 pages, LaTeX, no figures
Linking numbers in higher dimensions and their generalization including gauge fields are studied in the context of BF theories. The linking numbers associated to $n$-manifolds with smooth flows generated by divergence-free p-vector fields, endowed with an invariant flow measure are computed in different cases. They constitute invariants of smooth dynamical systems (for non-singular flows) and generalizes previous results for the 3-dimensional case. In particular, they generalizes to higher dimensions the Arnold's asymptotic Hopf invariant for the three-dimensional case. This invariant is generalized by a twisting with a non-abelian gauge connection. The computation of the asymptotic Jones-Witten invariants for flows is naturally extended to dimension n=2p+1. Finally we give a possible interpretation and implementation of these issues in the context of string theory.
Link Invariants for Flows in Higher Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.If you have personal experience with Link Invariants for Flows in Higher Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Link Invariants for Flows in Higher Dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-190378