no. 2
Torsion and symplectic volume in Seifert manifolds
[Torsion et volume symplectique des variétés de Seifert]
Charles, Laurent1 ; Jeffrey, Lisa2
1 Institut de Math. de Jussieu-Paris Rive Gauche, Sorbonne Universités, UPMC Univ. Paris 06, 75005, Paris, France
2 Mathematics Departement, University of Toronto, Toronto, ON, Canada M5S 2E4
Bulletin de la Société Mathématique de France, Tome 146 (2018) no. 2, pp. 287-308

For any oriented Seifert manifold X and compact connected Lie group G with finite center, we relate the Reidemeister density of the moduli space of representations of the fundamental group of X into G to the Liouville measure of some moduli spaces of representations of surface groups into G.

Pour toute variété de Seifert orientée X et tout groupe de Lie compact connexe G de centre fini, nous calculons la densité de Reidemeister de l’espace des modules des représentations du groupe fondamental de X dans G en fonction de la mesure de Liouville de certains espaces de modules de représentations de groupes de surfaces.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.24033/bsmf.2758
Classification : 53D30, 14D21, 57Q10
Keywords: Seifert manifolds, Moduli spaces of representations, Reidemeister Torsion, Atiyah-Bott symplectic structure
Mots-clés : Variété de Seifert, Espace de modules de représentations, Torsion de Reidemeister, structure symplectique d’Atiyah-Bott

Charles, Laurent 1 ; Jeffrey, Lisa 2

1 Institut de Math. de Jussieu-Paris Rive Gauche, Sorbonne Universités, UPMC Univ. Paris 06, 75005, Paris, France
2 Mathematics Departement, University of Toronto, Toronto, ON, Canada M5S 2E4 
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     title = {Torsion and symplectic volume in {Seifert} manifolds},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {287--308},
     year = {2018},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {146},
     number = {2},
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Charles, Laurent; Jeffrey, Lisa. Torsion and symplectic volume in Seifert manifolds. Bulletin de la Société Mathématique de France, Tome 146 (2018) no. 2, pp. 287-308. doi: 10.24033/bsmf.2758

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