This book is a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3-manifolds and more specifically in contact 3-manifolds. With style and content accessible to beginning students interested in geo…
Cover -- Title page -- Acknowledgement -- Chapter 1. Introduction -- Chapter 2. Background -- 2.1. (Riemannian) laminations and Laplacians -- 2.2. Covering laminations -- 2.3. Heat kernels, (weakly) harmonic measures and Standing Hypotheses -- 2.4. Brownian motion and Wiener mea…
"Given a -dimensional lamination endowed with a Riemannian metric, we introduce the notion of a multiplicative cocycle of rank where and are arbitrary positive integers. The holonomy cocycle of a foliation and its exterior powers as well as its tensor powers provide examples of …
"Given a -dimensional lamination endowed with a Riemannian metric, we introduce the notion of a multiplicative cocycle of rank where and are arbitrary positive integers. The holonomy cocycle of a foliation and its exterior powers as well as its tensor powers provide examples of …