On cobordism of generalized (real) Bott manifolds

Abstract

We show that all generalized (real) Bott manifolds which are (small covers) quasitoric manifolds over a product of simplices ${\Delta }^{n_1}\times \cdots \times {\Delta }^{n_r}\times {\Delta }^1$ are always boundaries of some manifolds. But these manifolds with the natural $({\mathbb{Z}}_2{)}^n$ action do not necessarily bound equvariantly. In addition, we can construct some examples of null-cobordant but not orientedly null-cobordant manifolds among quasitoric manifolds.

Cited by in corpus (1)

• On the topology of real Bott manifolds