A Heegaard-type presentation of branched spines and the Reidemeister-Turaev torsion
type: Item
instance of: scholarly article
title: A Heegaard-type presentation of branched spines and the Reidemeister-Turaev torsion
zbMATH Open document ID: 1153.57015
author: Yuya Koda
published in: Mathematische Zeitschrift
publication date: 2008-08-18T00:00:00Z
review text: \textit{R. Benedetti} und \textit{C. Petronio} haben in [Branched standard spines of 3-manifolds. Lecture Notes in Math. 1653. Berlin: Springer (1997; Zbl 0873.57002)] die Konzepte eines ``simple spine'' und ``branched surface'' für die Topologie von 3-Mannigfaltigkeiten zu dem des ``branched spine'' amalgamiert. Damit kann man Zusatzstrukturen auf 3-Mannigfaltigkeiten beschreiben, z.~B. Vektorfelder. In der vorliegenden Arbeit werden branched spines durch sogenannte ``punktierte Heegaarddiagramme'' gegeben. Sie ermöglichen es, die Reidemeister-Turaev-Torsion von 3-Mannigfaltigkeiten mit einer Standard-Spin\(^c\)-Struktur zu berechnen.
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57M20
Mathematics Subject Classification ID: 57R15
zbMATH DE Number: 5313080
zbMATH Keywords: branched spine
zbMATH Keywords: Reidemeister-Turaev torsion
MaRDI profile type: Publication
full work available at URL: s00209-007-0272-7
OpenAlex ID: W2039580922
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DOI: 10.1007/S00209-007-0272-7
description: scientific article; zbMATH DE number 5313080