Options
Branched Spines of 3-Manifolds and Reidemeister Torsion of Euler Structures
Amendola, Gennaro
Benedetti, Riccardo
Costantino, Francesco
Petronio, Carlo
2001
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.
Languages
en
File(s)