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arXiv · 1009.0342

$\TT^2$-cobordism of Quasitoric 4-Manifolds

Soumen Sarkar
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Abstract

We show the $\TT^2$-cobordism group of the category of 4-dimensional quasitoric manifolds is generated by the $\TT^2$-cobordism classes of $\CP^2$. We construct nice oriented $\TT^2$ manifolds with boundary where the boundary is the Hirzebruch surfaces. The main tool is the theory of quasitoric manifolds.

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Soumen Sarkar. 2012-11-06. $\TT^2$-cobordism of Quasitoric 4-Manifolds. https://doi.org/10.2140/agt.2012.12.2003

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