Geodesic
Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds
Journal of the European Mathematical Society, Tome 16 (2014) no. 12, pp. 2499-2555.

Voir la notice de l'article provenant de la source EMS Press

We extend the adiabatic limit formula for η-invariants by Bismut–Cheeger and Dai to Seifert fibrations. Our formula contains a new contribution from the singular fibres that takes the form of a generalised Dedekind sum.
DOI : 10.4171/jems/492
Classification : 58-XX, 00-XX, 57-XX
Keywords: Adiabatic limit, Seifert fibration, eta-invariant, cohomogeneity one manifold, Eells–Kuiper invariant, t-invariant 
@article{JEMS_2014_16_12_a0,
     author = {Sebastian Goette},
     title = {Adiabatic limits of {Seifert} fibrations, {Dedekind} sums, and the diffeomorphism type of certain 7-manifolds},
     journal = {Journal of the European Mathematical Society},
     pages = {2499--2555},
     publisher = {mathdoc},
     volume = {16},
     number = {12},
     year = {2014},
     doi = {10.4171/jems/492},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/492/}
}
TY  - JOUR
AU  - Sebastian Goette
TI  - Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds
JO  - Journal of the European Mathematical Society
PY  - 2014
SP  - 2499
EP  - 2555
VL  - 16
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/492/
DO  - 10.4171/jems/492
ID  - JEMS_2014_16_12_a0
ER  - 
%0 Journal Article
%A Sebastian Goette
%T Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds
%J Journal of the European Mathematical Society
%D 2014
%P 2499-2555
%V 16
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/492/
%R 10.4171/jems/492
%F JEMS_2014_16_12_a0
Sebastian Goette. Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds. Journal of the European Mathematical Society, Tome 16 (2014) no. 12, pp. 2499-2555. doi : 10.4171/jems/492. http://geodesic.mathdoc.fr/articles/10.4171/jems/492/

Cité par Sources :