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On cobordism of generalized (real) Bott manifolds (1710.00562v1)
Published 2 Oct 2017 in math.AT
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.