On cobordism of generalized (real) Bott manifolds

2017/10/02 by Lu, Yuxiu
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.00562

Abstract

We show that all generalized (real) Bott manifolds which are (small covers) quasitoric manifolds over a product of simplices Δ^n₁×⋯×Δ^n_r×Δ¹ are always boundaries of some manifolds. But these manifolds with the natural (ℤ₂)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.

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