Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds

Goette, Sebastian. "Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds." Journal of the European Mathematical Society 016.12 (2014): 2499-2555. <http://eudml.org/doc/277805>.

@article{Goette2014,
abstract = {As an application, we compute the Eells–Kuiper and t-invariants of certain cohomogeneity one manifolds that were studied by Dearricott, Grove, Verdiani, Wilking, and Ziller. In particular, we determine the diffeomorphism type of a new manifold of positive sectional curvature.},
author = {Goette, Sebastian},
journal = {Journal of the European Mathematical Society},
keywords = {adiabatic limit; Seifert fibration; eta-invariant; cohomogeneity one manifold; Eells–Kuiper invariant; $t$-invariant; adiabatic limit; Seifert fibration; eta-invariant; cohomogeneity one manifold; Eells-Kuiper invariant; -invariant},
language = {eng},
number = {12},
pages = {2499-2555},
publisher = {European Mathematical Society Publishing House},
title = {Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds},
url = {http://eudml.org/doc/277805},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Goette, Sebastian
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
PB - European Mathematical Society Publishing House
VL - 016
IS - 12
SP - 2499
EP - 2555
AB - As an application, we compute the Eells–Kuiper and t-invariants of certain cohomogeneity one manifolds that were studied by Dearricott, Grove, Verdiani, Wilking, and Ziller. In particular, we determine the diffeomorphism type of a new manifold of positive sectional curvature.
LA - eng
KW - adiabatic limit; Seifert fibration; eta-invariant; cohomogeneity one manifold; Eells–Kuiper invariant; $t$-invariant; adiabatic limit; Seifert fibration; eta-invariant; cohomogeneity one manifold; Eells-Kuiper invariant; -invariant
UR - http://eudml.org/doc/277805
ER -