Quasitoric manifolds homeomorphic to homogeneous spaces
Geometric Topology
2013-05-13 v2 Algebraic Topology
Abstract
We present some classification results for quasitoric manifolds (M) with (p_1(M)=-\sum a_i^2) for some (a_i\in H^2(M)) which admit an action of a compact connected Lie-group (G) such that (\dim M/G \leq 1). In contrast to Kuroki's work we do not require that the action of (G) extends the torus action on (M).
Cite
@article{arxiv.1101.0999,
title = {Quasitoric manifolds homeomorphic to homogeneous spaces},
author = {Michael Wiemeler},
journal= {arXiv preprint arXiv:1101.0999},
year = {2013}
}
Comments
6 pages, minor changes, accepted for publication in Osaka J. Math