2002/11/30 by Uwe Kaiser
Engineering · Mathematics · #Algebra over a field #Algebraic structures and combinatorial models #Combinatorics #Engineering #Geometric and Algebraic Topology #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy lifting property #Intersection (aeronautics) #Mathematical physics #Mathematics #Pure mathematics #Skein #String (physics) #Topology (electrical circuits) #math.GT #math.QA #msc:57M25 #msc:57M35 #n-connected
paper · pdf · doi:10.2140/agt.2003.3.1005
published as Algebr. Geom. Topol. 3 (2003) 1005-1035 · Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-34.abs.html
openalex publication_date 2003/10/11 · arxiv created 2003/10/20 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Relations between the string topology of Chas and Sullivan and the homotopy skein modules of Hoste and Przytycki are studied. This provides new insight into the structure of homotopy skein modules and their meaning in the framework of quantum topology. Our results can be considered as weak extensions to all orientable 3–manifolds of classical results by Turaev and Goldman concerning intersection and skein theory on oriented surfaces.