On cobordism of generalized (real) Bott manifolds

Yuxiu Lu

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arXiv · 1710.00562

On cobordism of generalized (real) Bott manifolds

Yuxiu Lu

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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.

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Yuxiu Lu. 2017-10-02. On cobordism of generalized (real) Bott manifolds. https://arxiv.org/abs/1710.00562

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