2014/01/02 by Stefano Borghini
Mathematics · #Advanced Operator Algebra Research #Differential geometry #Euler angles #Euler characteristic #Euler's formula #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Torsion (gastropod) #math.GT #msc:57M27 #msc:57N10 #msc:57Q10 #msc:57R25
paper · pdf · doi:10.1007/s10231-014-0433-3
published in Annali di Matematica Pura ed Applicata (1923 -) 194(5), 1535-1561 (Springer Science+Business Media) · 32 pages, 19 figures
arxiv created 2014/01/02 · openalex publication_date 2014/06/10 · openalex created_date 2016/06/24 · arxiv updated 2018/05/08 · openalex updated_date 2026/08/05
We extend Turaev's theory of Euler structures and torsion invariants on 3-manifolds to the case of vector fields having generic behavior on the boundary. This allows to easily define gluings of Euler structures and to develop a completely general gluing formula for Reidemeister torsion of 3-manifolds. Lastly, we describe a combinatorial presentation of Euler structures via stream-spines, as a tool to effectively compute torsion.