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  2. EUT Edizioni Università di Trieste
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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.32 (2001) s1
  6. Branched Spines of 3-Manifolds and Reidemeister Torsion of Euler Structures
 
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Branched Spines of 3-Manifolds and Reidemeister Torsion of Euler Structures

Amendola, Gennaro
•
Benedetti, Riccardo
•
Costantino, Francesco
•
Petronio, Carlo
2001
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ISSN
0049-4704
http://hdl.handle.net/10077/4232
  • Article

Abstract
We consider homotopy classes of non-singular vector fields on three-manifolds with boundary and we define for these classes torsion invariants of Reidemeister type. We show that torsion is well-defined and equivariant under the action of the appropriate homology group using an elementary and self-contained technique. Namely, we use the theory of branched standard spines to express the difference between two homotopy classes as a combination of well-understood elementary catastrophes. As a special case we are able to reproduce Turaev’s theory of Reidemeister torsion for Euler structures on closed manifolds of dimension three.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
G. Amendola et al., "Branched Spines of 3-Manifolds and Reidemeister Torsion of Euler Structures", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 1-33.
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