A Heegaard-type presentation of branched spines and the Reidemeister-Turaev torsion

Yuya Koda

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Branched spines of three-manifolds can be used to represent the homotopy class of vector fields on the ambient manifolds. In this paper, we introduce a way to present branched spines as Heegaard-type diagrams, punctured Heegaard diagrams, and explain a way to compute the Reidemeister-Turaev torsion using these diagrams.

Original languageEnglish
Pages (from-to)203-228
Number of pages26
JournalMathematische Zeitschrift
Volume260
Issue number1
DOIs
Publication statusPublished - 2008 Sep 1

ASJC Scopus subject areas

  • Mathematics(all)

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