A gluing formula for Reidemeister-Turaev torsion

Verfasser / Beitragende:
[Stefano Borghini]
Ort, Verlag, Jahr:
2015
Enthalten in:
Annali di Matematica Pura ed Applicata (1923 -), 194/5(2015-10-01), 1535-1561
Format:
Artikel (online)
ID: 605496455
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024 7 0 |a 10.1007/s10231-014-0433-3  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10231-014-0433-3 
100 1 |a Borghini  |D Stefano  |u Scuola Normale Superiore di Pisa, Pisa, Italy  |4 aut 
245 1 2 |a A gluing formula for Reidemeister-Turaev torsion  |h [Elektronische Daten]  |c [Stefano Borghini] 
520 3 |a We extend Turaev's theory of Euler structures and torsion invariants on a 3-manifold $$M$$ M to the case of vector fields having generic behavior on $$\partial M$$ ∂ M . 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. 
540 |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Reidemeister torsion  |2 nationallicence 
690 7 |a Euler structures  |2 nationallicence 
690 7 |a Spines  |2 nationallicence 
773 0 |t Annali di Matematica Pura ed Applicata (1923 -)  |d Springer Berlin Heidelberg  |g 194/5(2015-10-01), 1535-1561  |x 0373-3114  |q 194:5<1535  |1 2015  |2 194  |o 10231 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10231-014-0433-3  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Borghini  |D Stefano  |u Scuola Normale Superiore di Pisa, Pisa, Italy  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Annali di Matematica Pura ed Applicata (1923 -)  |d Springer Berlin Heidelberg  |g 194/5(2015-10-01), 1535-1561  |x 0373-3114  |q 194:5<1535  |1 2015  |2 194  |o 10231